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Finding the Fourth Proportional to 3,575.20, 5,363.90 and 1,602.49

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Solution

The fourth proportional to 3,575.20, 5,363.90 and 1,602.49 is: 2,404.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,575.20 : 5,363.90 = 1,602.49 : x
  2. Step 2: Convert to fraction form
    3,575.20/5,363.90 = 1,602.49/x
  3. Step 3: Cross multiply
    3,575.20x = 5,363.90 × 1,602.49
  4. Step 4: Simplify right side
    3,575.20x = 8,595,596.11
  5. Step 5: Solve for x
    x = 8,595,596.11/3,575.20
  6. Step 6: Final answer
    x = 2,404.23

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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.