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Finding the Fourth Proportional to 4,712.87, 7,070.46 and 1,425.78

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Solution

The fourth proportional to 4,712.87, 7,070.46 and 1,425.78 is: 2,139.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.87 : 7,070.46 = 1,425.78 : x
  2. Step 2: Convert to fraction form
    4,712.87/7,070.46 = 1,425.78/x
  3. Step 3: Cross multiply
    4,712.87x = 7,070.46 × 1,425.78
  4. Step 4: Simplify right side
    4,712.87x = 10,080,915.11
  5. Step 5: Solve for x
    x = 10,080,915.11/4,712.87
  6. Step 6: Final answer
    x = 2,139.02

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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.