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Finding the Fourth Proportional to 4,702.68, 7,052.58 and 3,251.16

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Solution

The fourth proportional to 4,702.68, 7,052.58 and 3,251.16 is: 4,875.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.68 : 7,052.58 = 3,251.16 : x
  2. Step 2: Convert to fraction form
    4,702.68/7,052.58 = 3,251.16/x
  3. Step 3: Cross multiply
    4,702.68x = 7,052.58 × 3,251.16
  4. Step 4: Simplify right side
    4,702.68x = 22,929,065.99
  5. Step 5: Solve for x
    x = 22,929,065.99/4,702.68
  6. Step 6: Final answer
    x = 4,875.74

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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.