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Finding the Fourth Proportional to 5,378.52, 8,068.29 and 2,002.20

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Solution

The fourth proportional to 5,378.52, 8,068.29 and 2,002.20 is: 3,003.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.52 : 8,068.29 = 2,002.20 : x
  2. Step 2: Convert to fraction form
    5,378.52/8,068.29 = 2,002.20/x
  3. Step 3: Cross multiply
    5,378.52x = 8,068.29 × 2,002.20
  4. Step 4: Simplify right side
    5,378.52x = 16,154,330.24
  5. Step 5: Solve for x
    x = 16,154,330.24/5,378.52
  6. Step 6: Final answer
    x = 3,003.49

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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.