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Finding the Fourth Proportional to 5,605.14, 8,394.39 and 2,823.06

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Solution

The fourth proportional to 5,605.14, 8,394.39 and 2,823.06 is: 4,227.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.14 : 8,394.39 = 2,823.06 : x
  2. Step 2: Convert to fraction form
    5,605.14/8,394.39 = 2,823.06/x
  3. Step 3: Cross multiply
    5,605.14x = 8,394.39 × 2,823.06
  4. Step 4: Simplify right side
    5,605.14x = 23,697,866.63
  5. Step 5: Solve for x
    x = 23,697,866.63/5,605.14
  6. Step 6: Final answer
    x = 4,227.88

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