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Finding the Fourth Proportional to 5,304.13, 7,943.88 and 5,119.62

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Solution

The fourth proportional to 5,304.13, 7,943.88 and 5,119.62 is: 7,667.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304.13 : 7,943.88 = 5,119.62 : x
  2. Step 2: Convert to fraction form
    5,304.13/7,943.88 = 5,119.62/x
  3. Step 3: Cross multiply
    5,304.13x = 7,943.88 × 5,119.62
  4. Step 4: Simplify right side
    5,304.13x = 40,669,646.93
  5. Step 5: Solve for x
    x = 40,669,646.93/5,304.13
  6. Step 6: Final answer
    x = 7,667.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.