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Finding the Fourth Proportional to 4,257.42, 5,862.54 and 4,160.38

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Solution

The fourth proportional to 4,257.42, 5,862.54 and 4,160.38 is: 5,728.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.42 : 5,862.54 = 4,160.38 : x
  2. Step 2: Convert to fraction form
    4,257.42/5,862.54 = 4,160.38/x
  3. Step 3: Cross multiply
    4,257.42x = 5,862.54 × 4,160.38
  4. Step 4: Simplify right side
    4,257.42x = 24,390,394.17
  5. Step 5: Solve for x
    x = 24,390,394.17/4,257.42
  6. Step 6: Final answer
    x = 5,728.91

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Why These Related Problems?

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