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Finding the Fourth Proportional to 3,432.80, 4,812.40 and 3,432.80

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Solution

The fourth proportional to 3,432.80, 4,812.40 and 3,432.80 is: 4,812.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.80 : 4,812.40 = 3,432.80 : x
  2. Step 2: Convert to fraction form
    3,432.80/4,812.40 = 3,432.80/x
  3. Step 3: Cross multiply
    3,432.80x = 4,812.40 × 3,432.80
  4. Step 4: Simplify right side
    3,432.80x = 16,520,006.72
  5. Step 5: Solve for x
    x = 16,520,006.72/3,432.80
  6. Step 6: Final answer
    x = 4,812.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.