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Finding the Fourth Proportional to 3,224.92, 4,830.04 and 3,152.04

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Solution

The fourth proportional to 3,224.92, 4,830.04 and 3,152.04 is: 4,720.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.92 : 4,830.04 = 3,152.04 : x
  2. Step 2: Convert to fraction form
    3,224.92/4,830.04 = 3,152.04/x
  3. Step 3: Cross multiply
    3,224.92x = 4,830.04 × 3,152.04
  4. Step 4: Simplify right side
    3,224.92x = 15,224,479.28
  5. Step 5: Solve for x
    x = 15,224,479.28/3,224.92
  6. Step 6: Final answer
    x = 4,720.89

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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.