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Finding the Fourth Proportional to 4,926.17, 7,382.88 and 2,002.88

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Solution

The fourth proportional to 4,926.17, 7,382.88 and 2,002.88 is: 3,001.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,926.17 : 7,382.88 = 2,002.88 : x
  2. Step 2: Convert to fraction form
    4,926.17/7,382.88 = 2,002.88/x
  3. Step 3: Cross multiply
    4,926.17x = 7,382.88 × 2,002.88
  4. Step 4: Simplify right side
    4,926.17x = 14,787,041.15
  5. Step 5: Solve for x
    x = 14,787,041.15/4,926.17
  6. Step 6: Final answer
    x = 3,001.73

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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.