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Finding the Fourth Proportional to 3,869.52, 5,802.48 and 1,404.24

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Solution

The fourth proportional to 3,869.52, 5,802.48 and 1,404.24 is: 2,105.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.52 : 5,802.48 = 1,404.24 : x
  2. Step 2: Convert to fraction form
    3,869.52/5,802.48 = 1,404.24/x
  3. Step 3: Cross multiply
    3,869.52x = 5,802.48 × 1,404.24
  4. Step 4: Simplify right side
    3,869.52x = 8,148,074.52
  5. Step 5: Solve for x
    x = 8,148,074.52/3,869.52
  6. Step 6: Final answer
    x = 2,105.71

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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.