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Finding the Fourth Proportional to 3,452.55, 5,174.16 and 2,476.50

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Solution

The fourth proportional to 3,452.55, 5,174.16 and 2,476.50 is: 3,711.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.55 : 5,174.16 = 2,476.50 : x
  2. Step 2: Convert to fraction form
    3,452.55/5,174.16 = 2,476.50/x
  3. Step 3: Cross multiply
    3,452.55x = 5,174.16 × 2,476.50
  4. Step 4: Simplify right side
    3,452.55x = 12,813,807.24
  5. Step 5: Solve for x
    x = 12,813,807.24/3,452.55
  6. Step 6: Final answer
    x = 3,711.40

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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.