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Finding the Fourth Proportional to 3,342.57, 5,014.12 and 1,002.41

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Solution

The fourth proportional to 3,342.57, 5,014.12 and 1,002.41 is: 1,503.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,342.57 : 5,014.12 = 1,002.41 : x
  2. Step 2: Convert to fraction form
    3,342.57/5,014.12 = 1,002.41/x
  3. Step 3: Cross multiply
    3,342.57x = 5,014.12 × 1,002.41
  4. Step 4: Simplify right side
    3,342.57x = 5,026,197.14
  5. Step 5: Solve for x
    x = 5,026,197.14/3,342.57
  6. Step 6: Final answer
    x = 1,503.69

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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.