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Finding the Fourth Proportional to 4,332.08, 5,978.04 and 2,469.04

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Solution

The fourth proportional to 4,332.08, 5,978.04 and 2,469.04 is: 3,407.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,332.08 : 5,978.04 = 2,469.04 : x
  2. Step 2: Convert to fraction form
    4,332.08/5,978.04 = 2,469.04/x
  3. Step 3: Cross multiply
    4,332.08x = 5,978.04 × 2,469.04
  4. Step 4: Simplify right side
    4,332.08x = 14,760,019.88
  5. Step 5: Solve for x
    x = 14,760,019.88/4,332.08
  6. Step 6: Final answer
    x = 3,407.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.