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Finding the Fourth Proportional to 5,002.86, 7,499.16 and 1,882.29

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Solution

The fourth proportional to 5,002.86, 7,499.16 and 1,882.29 is: 2,821.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,002.86 : 7,499.16 = 1,882.29 : x
  2. Step 2: Convert to fraction form
    5,002.86/7,499.16 = 1,882.29/x
  3. Step 3: Cross multiply
    5,002.86x = 7,499.16 × 1,882.29
  4. Step 4: Simplify right side
    5,002.86x = 14,115,593.88
  5. Step 5: Solve for x
    x = 14,115,593.88/5,002.86
  6. Step 6: Final answer
    x = 2,821.50

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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.