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Finding the Fourth Proportional to 3,901.36, 5,851.17 and 1,127.42

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Solution

The fourth proportional to 3,901.36, 5,851.17 and 1,127.42 is: 1,690.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.36 : 5,851.17 = 1,127.42 : x
  2. Step 2: Convert to fraction form
    3,901.36/5,851.17 = 1,127.42/x
  3. Step 3: Cross multiply
    3,901.36x = 5,851.17 × 1,127.42
  4. Step 4: Simplify right side
    3,901.36x = 6,596,691.19
  5. Step 5: Solve for x
    x = 6,596,691.19/3,901.36
  6. Step 6: Final answer
    x = 1,690.87

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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.