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Finding the Fourth Proportional to 3,127.06, 4,691.16 and 935.53

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Solution

The fourth proportional to 3,127.06, 4,691.16 and 935.53 is: 1,403.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,127.06 : 4,691.16 = 935.53 : x
  2. Step 2: Convert to fraction form
    3,127.06/4,691.16 = 935.53/x
  3. Step 3: Cross multiply
    3,127.06x = 4,691.16 × 935.53
  4. Step 4: Simplify right side
    3,127.06x = 4,388,720.91
  5. Step 5: Solve for x
    x = 4,388,720.91/3,127.06
  6. Step 6: Final answer
    x = 1,403.47

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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.