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Finding the Fourth Proportional to 4,761.00, 7,141.92 and 1,250.95

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Solution

The fourth proportional to 4,761.00, 7,141.92 and 1,250.95 is: 1,876.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.00 : 7,141.92 = 1,250.95 : x
  2. Step 2: Convert to fraction form
    4,761.00/7,141.92 = 1,250.95/x
  3. Step 3: Cross multiply
    4,761.00x = 7,141.92 × 1,250.95
  4. Step 4: Simplify right side
    4,761.00x = 8,934,165.13
  5. Step 5: Solve for x
    x = 8,934,165.13/4,761.00
  6. Step 6: Final answer
    x = 1,876.53

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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.