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Finding the Fourth Proportional to 3,127.60, 4,691.58 and 1,047.88

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Solution

The fourth proportional to 3,127.60, 4,691.58 and 1,047.88 is: 1,571.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,127.60 : 4,691.58 = 1,047.88 : x
  2. Step 2: Convert to fraction form
    3,127.60/4,691.58 = 1,047.88/x
  3. Step 3: Cross multiply
    3,127.60x = 4,691.58 × 1,047.88
  4. Step 4: Simplify right side
    3,127.60x = 4,916,212.85
  5. Step 5: Solve for x
    x = 4,916,212.85/3,127.60
  6. Step 6: Final answer
    x = 1,571.88

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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.