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Finding the Fourth Proportional to 5,693.41, 8,542.76 and 2,407.27

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Solution

The fourth proportional to 5,693.41, 8,542.76 and 2,407.27 is: 3,612.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.41 : 8,542.76 = 2,407.27 : x
  2. Step 2: Convert to fraction form
    5,693.41/8,542.76 = 2,407.27/x
  3. Step 3: Cross multiply
    5,693.41x = 8,542.76 × 2,407.27
  4. Step 4: Simplify right side
    5,693.41x = 20,564,717.83
  5. Step 5: Solve for x
    x = 20,564,717.83/5,693.41
  6. Step 6: Final answer
    x = 3,612.02

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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.