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Finding the Fourth Proportional to 4,139.66, 5,717.16 and 4,044.32

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Solution

The fourth proportional to 4,139.66, 5,717.16 and 4,044.32 is: 5,585.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,139.66 : 5,717.16 = 4,044.32 : x
  2. Step 2: Convert to fraction form
    4,139.66/5,717.16 = 4,044.32/x
  3. Step 3: Cross multiply
    4,139.66x = 5,717.16 × 4,044.32
  4. Step 4: Simplify right side
    4,139.66x = 23,122,024.53
  5. Step 5: Solve for x
    x = 23,122,024.53/4,139.66
  6. Step 6: Final answer
    x = 5,585.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.