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Finding the Fourth Proportional to 5,697,583.76, 7,862,667.40 and 3,119,428.24

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Solution

The fourth proportional to 5,697,583.76, 7,862,667.40 and 3,119,428.24 is: 4,304,811.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697,583.76 : 7,862,667.40 = 3,119,428.24 : x
  2. Step 2: Convert to fraction form
    5,697,583.76/7,862,667.40 = 3,119,428.24/x
  3. Step 3: Cross multiply
    5,697,583.76x = 7,862,667.40 × 3,119,428.24
  4. Step 4: Simplify right side
    5,697,583.76x = 24,527,026,729,287.38
  5. Step 5: Solve for x
    x = 24,527,026,729,287.38/5,697,583.76
  6. Step 6: Final answer
    x = 4,304,811.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.