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Finding the Fourth Proportional to 4,400.54, 6,601.50 and 1,478.17

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Solution

The fourth proportional to 4,400.54, 6,601.50 and 1,478.17 is: 2,217.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,400.54 : 6,601.50 = 1,478.17 : x
  2. Step 2: Convert to fraction form
    4,400.54/6,601.50 = 1,478.17/x
  3. Step 3: Cross multiply
    4,400.54x = 6,601.50 × 1,478.17
  4. Step 4: Simplify right side
    4,400.54x = 9,758,122.75
  5. Step 5: Solve for x
    x = 9,758,122.75/4,400.54
  6. Step 6: Final answer
    x = 2,217.49

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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.