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Finding the Fourth Proportional to 3,432.96, 5,146.88 and 2,064.64

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Solution

The fourth proportional to 3,432.96, 5,146.88 and 2,064.64 is: 3,095.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.96 : 5,146.88 = 2,064.64 : x
  2. Step 2: Convert to fraction form
    3,432.96/5,146.88 = 2,064.64/x
  3. Step 3: Cross multiply
    3,432.96x = 5,146.88 × 2,064.64
  4. Step 4: Simplify right side
    3,432.96x = 10,626,454.32
  5. Step 5: Solve for x
    x = 10,626,454.32/3,432.96
  6. Step 6: Final answer
    x = 3,095.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.