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Finding the Fourth Proportional to 5,272.46, 7,909.50 and 1,761.82

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Solution

The fourth proportional to 5,272.46, 7,909.50 and 1,761.82 is: 2,643.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,272.46 : 7,909.50 = 1,761.82 : x
  2. Step 2: Convert to fraction form
    5,272.46/7,909.50 = 1,761.82/x
  3. Step 3: Cross multiply
    5,272.46x = 7,909.50 × 1,761.82
  4. Step 4: Simplify right side
    5,272.46x = 13,935,092.21
  5. Step 5: Solve for x
    x = 13,935,092.21/5,272.46
  6. Step 6: Final answer
    x = 2,643.00

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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.