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Finding the Fourth Proportional to 4,601.52, 6,868.90 and 4,258.88

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Solution

The fourth proportional to 4,601.52, 6,868.90 and 4,258.88 is: 6,357.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,601.52 : 6,868.90 = 4,258.88 : x
  2. Step 2: Convert to fraction form
    4,601.52/6,868.90 = 4,258.88/x
  3. Step 3: Cross multiply
    4,601.52x = 6,868.90 × 4,258.88
  4. Step 4: Simplify right side
    4,601.52x = 29,253,820.83
  5. Step 5: Solve for x
    x = 29,253,820.83/4,601.52
  6. Step 6: Final answer
    x = 6,357.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.