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Finding the Fourth Proportional to 4,312.68, 6,469.06 and 3,452.46

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Solution

The fourth proportional to 4,312.68, 6,469.06 and 3,452.46 is: 5,178.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,312.68 : 6,469.06 = 3,452.46 : x
  2. Step 2: Convert to fraction form
    4,312.68/6,469.06 = 3,452.46/x
  3. Step 3: Cross multiply
    4,312.68x = 6,469.06 × 3,452.46
  4. Step 4: Simplify right side
    4,312.68x = 22,334,170.89
  5. Step 5: Solve for x
    x = 22,334,170.89/4,312.68
  6. Step 6: Final answer
    x = 5,178.72

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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.