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Finding the Fourth Proportional to 3,442.55, 4,752.17 and 2,325

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Solution

The fourth proportional to 3,442.55, 4,752.17 and 2,325 is: 3,209.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.55 : 4,752.17 = 2,325 : x
  2. Step 2: Convert to fraction form
    3,442.55/4,752.17 = 2,325/x
  3. Step 3: Cross multiply
    3,442.55x = 4,752.17 × 2,325
  4. Step 4: Simplify right side
    3,442.55x = 11,048,795.25
  5. Step 5: Solve for x
    x = 11,048,795.25/3,442.55
  6. Step 6: Final answer
    x = 3,209.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.