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Finding the Fourth Proportional to 3,543.60, 5,289.18 and 3,324.72

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Solution

The fourth proportional to 3,543.60, 5,289.18 and 3,324.72 is: 4,962.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.60 : 5,289.18 = 3,324.72 : x
  2. Step 2: Convert to fraction form
    3,543.60/5,289.18 = 3,324.72/x
  3. Step 3: Cross multiply
    3,543.60x = 5,289.18 × 3,324.72
  4. Step 4: Simplify right side
    3,543.60x = 17,585,042.53
  5. Step 5: Solve for x
    x = 17,585,042.53/3,543.60
  6. Step 6: Final answer
    x = 4,962.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.