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Finding the Fourth Proportional to 4,752.28, 7,127.70 and 1,288.72

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Solution

The fourth proportional to 4,752.28, 7,127.70 and 1,288.72 is: 1,932.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.28 : 7,127.70 = 1,288.72 : x
  2. Step 2: Convert to fraction form
    4,752.28/7,127.70 = 1,288.72/x
  3. Step 3: Cross multiply
    4,752.28x = 7,127.70 × 1,288.72
  4. Step 4: Simplify right side
    4,752.28x = 9,185,609.54
  5. Step 5: Solve for x
    x = 9,185,609.54/4,752.28
  6. Step 6: Final answer
    x = 1,932.88

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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.