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Finding the Fourth Proportional to 3,807.43, 5,711.40 and 1,175.17

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Solution

The fourth proportional to 3,807.43, 5,711.40 and 1,175.17 is: 1,762.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.43 : 5,711.40 = 1,175.17 : x
  2. Step 2: Convert to fraction form
    3,807.43/5,711.40 = 1,175.17/x
  3. Step 3: Cross multiply
    3,807.43x = 5,711.40 × 1,175.17
  4. Step 4: Simplify right side
    3,807.43x = 6,711,872.47
  5. Step 5: Solve for x
    x = 6,711,872.47/3,807.43
  6. Step 6: Final answer
    x = 1,762.84

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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.