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Finding the Fourth Proportional to 4,510.38, 6,766.25 and 1,588.17

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Solution

The fourth proportional to 4,510.38, 6,766.25 and 1,588.17 is: 2,382.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,510.38 : 6,766.25 = 1,588.17 : x
  2. Step 2: Convert to fraction form
    4,510.38/6,766.25 = 1,588.17/x
  3. Step 3: Cross multiply
    4,510.38x = 6,766.25 × 1,588.17
  4. Step 4: Simplify right side
    4,510.38x = 10,745,947.32
  5. Step 5: Solve for x
    x = 10,745,947.32/4,510.38
  6. Step 6: Final answer
    x = 2,382.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.