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Finding the Fourth Proportional to 4,227.47, 5,834.16 and 3,032.82

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Solution

The fourth proportional to 4,227.47, 5,834.16 and 3,032.82 is: 4,185.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227.47 : 5,834.16 = 3,032.82 : x
  2. Step 2: Convert to fraction form
    4,227.47/5,834.16 = 3,032.82/x
  3. Step 3: Cross multiply
    4,227.47x = 5,834.16 × 3,032.82
  4. Step 4: Simplify right side
    4,227.47x = 17,693,957.13
  5. Step 5: Solve for x
    x = 17,693,957.13/4,227.47
  6. Step 6: Final answer
    x = 4,185.47

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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.