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Finding the Fourth Proportional to 6,052.57, 8,352.50 and 3,534.78

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Solution

The fourth proportional to 6,052.57, 8,352.50 and 3,534.78 is: 4,877.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,052.57 : 8,352.50 = 3,534.78 : x
  2. Step 2: Convert to fraction form
    6,052.57/8,352.50 = 3,534.78/x
  3. Step 3: Cross multiply
    6,052.57x = 8,352.50 × 3,534.78
  4. Step 4: Simplify right side
    6,052.57x = 29,524,258.79
  5. Step 5: Solve for x
    x = 29,524,258.79/6,052.57
  6. Step 6: Final answer
    x = 4,877.97

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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.