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Finding the Fourth Proportional to 4,507.41, 6,761.76 and 1,387.68

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Solution

The fourth proportional to 4,507.41, 6,761.76 and 1,387.68 is: 2,081.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,507.41 : 6,761.76 = 1,387.68 : x
  2. Step 2: Convert to fraction form
    4,507.41/6,761.76 = 1,387.68/x
  3. Step 3: Cross multiply
    4,507.41x = 6,761.76 × 1,387.68
  4. Step 4: Simplify right side
    4,507.41x = 9,383,159.12
  5. Step 5: Solve for x
    x = 9,383,159.12/4,507.41
  6. Step 6: Final answer
    x = 2,081.72

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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.