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Finding the Fourth Proportional to 5,695.10, 8,542.65 and 5,306.30

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Solution

The fourth proportional to 5,695.10, 8,542.65 and 5,306.30 is: 7,959.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.10 : 8,542.65 = 5,306.30 : x
  2. Step 2: Convert to fraction form
    5,695.10/8,542.65 = 5,306.30/x
  3. Step 3: Cross multiply
    5,695.10x = 8,542.65 × 5,306.30
  4. Step 4: Simplify right side
    5,695.10x = 45,329,863.70
  5. Step 5: Solve for x
    x = 45,329,863.70/5,695.10
  6. Step 6: Final answer
    x = 7,959.45

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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.