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Finding the Fourth Proportional to 3,773.72, 5,657.61 and 2,384.13

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Solution

The fourth proportional to 3,773.72, 5,657.61 and 2,384.13 is: 3,574.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.72 : 5,657.61 = 2,384.13 : x
  2. Step 2: Convert to fraction form
    3,773.72/5,657.61 = 2,384.13/x
  3. Step 3: Cross multiply
    3,773.72x = 5,657.61 × 2,384.13
  4. Step 4: Simplify right side
    3,773.72x = 13,488,477.73
  5. Step 5: Solve for x
    x = 13,488,477.73/3,773.72
  6. Step 6: Final answer
    x = 3,574.32

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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.