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Finding the Fourth Proportional to 5,002.92, 7,503.90 and 1,540.20

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Solution

The fourth proportional to 5,002.92, 7,503.90 and 1,540.20 is: 2,310.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,002.92 : 7,503.90 = 1,540.20 : x
  2. Step 2: Convert to fraction form
    5,002.92/7,503.90 = 1,540.20/x
  3. Step 3: Cross multiply
    5,002.92x = 7,503.90 × 1,540.20
  4. Step 4: Simplify right side
    5,002.92x = 11,557,506.78
  5. Step 5: Solve for x
    x = 11,557,506.78/5,002.92
  6. Step 6: Final answer
    x = 2,310.15

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1.5x scale

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.