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Finding the Fourth Proportional to 2,999.52, 4,494 and 2,562.24

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Solution

The fourth proportional to 2,999.52, 4,494 and 2,562.24 is: 3,838.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.52 : 4,494 = 2,562.24 : x
  2. Step 2: Convert to fraction form
    2,999.52/4,494 = 2,562.24/x
  3. Step 3: Cross multiply
    2,999.52x = 4,494 × 2,562.24
  4. Step 4: Simplify right side
    2,999.52x = 11,514,706.56
  5. Step 5: Solve for x
    x = 11,514,706.56/2,999.52
  6. Step 6: Final answer
    x = 3,838.85

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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.