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Finding the Fourth Proportional to 5,287.26, 7,932.10 and 1,824.50

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Solution

The fourth proportional to 5,287.26, 7,932.10 and 1,824.50 is: 2,737.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.26 : 7,932.10 = 1,824.50 : x
  2. Step 2: Convert to fraction form
    5,287.26/7,932.10 = 1,824.50/x
  3. Step 3: Cross multiply
    5,287.26x = 7,932.10 × 1,824.50
  4. Step 4: Simplify right side
    5,287.26x = 14,472,116.45
  5. Step 5: Solve for x
    x = 14,472,116.45/5,287.26
  6. Step 6: Final answer
    x = 2,737.17

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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.