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Finding the Fourth Proportional to 4,258.42, 6,387.78 and 3,523.78

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Solution

The fourth proportional to 4,258.42, 6,387.78 and 3,523.78 is: 5,285.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258.42 : 6,387.78 = 3,523.78 : x
  2. Step 2: Convert to fraction form
    4,258.42/6,387.78 = 3,523.78/x
  3. Step 3: Cross multiply
    4,258.42x = 6,387.78 × 3,523.78
  4. Step 4: Simplify right side
    4,258.42x = 22,509,131.41
  5. Step 5: Solve for x
    x = 22,509,131.41/4,258.42
  6. Step 6: Final answer
    x = 5,285.79

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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.