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Finding the Fourth Proportional to 3,901.61, 5,851.54 and 1,127.66

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Solution

The fourth proportional to 3,901.61, 5,851.54 and 1,127.66 is: 1,691.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.61 : 5,851.54 = 1,127.66 : x
  2. Step 2: Convert to fraction form
    3,901.61/5,851.54 = 1,127.66/x
  3. Step 3: Cross multiply
    3,901.61x = 5,851.54 × 1,127.66
  4. Step 4: Simplify right side
    3,901.61x = 6,598,559.41
  5. Step 5: Solve for x
    x = 6,598,559.41/3,901.61
  6. Step 6: Final answer
    x = 1,691.24

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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.