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Finding the Fourth Proportional to 4,404.50, 6,614.95 and 4,228.32

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Solution

The fourth proportional to 4,404.50, 6,614.95 and 4,228.32 is: 6,350.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,404.50 : 6,614.95 = 4,228.32 : x
  2. Step 2: Convert to fraction form
    4,404.50/6,614.95 = 4,228.32/x
  3. Step 3: Cross multiply
    4,404.50x = 6,614.95 × 4,228.32
  4. Step 4: Simplify right side
    4,404.50x = 27,970,125.38
  5. Step 5: Solve for x
    x = 27,970,125.38/4,404.50
  6. Step 6: Final answer
    x = 6,350.35

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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.