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Finding the Fourth Proportional to 4,510.80, 6,767.13 and 1,591.14

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Solution

The fourth proportional to 4,510.80, 6,767.13 and 1,591.14 is: 2,387.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,510.80 : 6,767.13 = 1,591.14 : x
  2. Step 2: Convert to fraction form
    4,510.80/6,767.13 = 1,591.14/x
  3. Step 3: Cross multiply
    4,510.80x = 6,767.13 × 1,591.14
  4. Step 4: Simplify right side
    4,510.80x = 10,767,451.23
  5. Step 5: Solve for x
    x = 10,767,451.23/4,510.80
  6. Step 6: Final answer
    x = 2,387.04

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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.