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Finding the Fourth Proportional to 3,451.04, 5,171.90 and 2,475

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Solution

The fourth proportional to 3,451.04, 5,171.90 and 2,475 is: 3,709.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.04 : 5,171.90 = 2,475 : x
  2. Step 2: Convert to fraction form
    3,451.04/5,171.90 = 2,475/x
  3. Step 3: Cross multiply
    3,451.04x = 5,171.90 × 2,475
  4. Step 4: Simplify right side
    3,451.04x = 12,800,452.50
  5. Step 5: Solve for x
    x = 12,800,452.50/3,451.04
  6. Step 6: Final answer
    x = 3,709.16

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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.