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Finding the Fourth Proportional to 3,712.47, 5,565.35 and 1,737.33

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Solution

The fourth proportional to 3,712.47, 5,565.35 and 1,737.33 is: 2,604.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.47 : 5,565.35 = 1,737.33 : x
  2. Step 2: Convert to fraction form
    3,712.47/5,565.35 = 1,737.33/x
  3. Step 3: Cross multiply
    3,712.47x = 5,565.35 × 1,737.33
  4. Step 4: Simplify right side
    3,712.47x = 9,668,813.00
  5. Step 5: Solve for x
    x = 9,668,813.00/3,712.47
  6. Step 6: Final answer
    x = 2,604.42

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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.