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Finding the Fourth Proportional to 3,466, 5,202.12 and 2,352.72

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Solution

The fourth proportional to 3,466, 5,202.12 and 2,352.72 is: 3,531.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466 : 5,202.12 = 2,352.72 : x
  2. Step 2: Convert to fraction form
    3,466/5,202.12 = 2,352.72/x
  3. Step 3: Cross multiply
    3,466x = 5,202.12 × 2,352.72
  4. Step 4: Simplify right side
    3,466x = 12,239,131.77
  5. Step 5: Solve for x
    x = 12,239,131.77/3,466
  6. Step 6: Final answer
    x = 3,531.20

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Why These Related Problems?

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