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Finding the Fourth Proportional to 5,695.65, 8,539.36 and 3,842.17

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Solution

The fourth proportional to 5,695.65, 8,539.36 and 3,842.17 is: 5,760.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.65 : 8,539.36 = 3,842.17 : x
  2. Step 2: Convert to fraction form
    5,695.65/8,539.36 = 3,842.17/x
  3. Step 3: Cross multiply
    5,695.65x = 8,539.36 × 3,842.17
  4. Step 4: Simplify right side
    5,695.65x = 32,809,641.86
  5. Step 5: Solve for x
    x = 32,809,641.86/5,695.65
  6. Step 6: Final answer
    x = 5,760.47

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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.