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Finding the Fourth Proportional to 5,124.98, 7,690.50 and 2,004.86

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Solution

The fourth proportional to 5,124.98, 7,690.50 and 2,004.86 is: 3,008.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124.98 : 7,690.50 = 2,004.86 : x
  2. Step 2: Convert to fraction form
    5,124.98/7,690.50 = 2,004.86/x
  3. Step 3: Cross multiply
    5,124.98x = 7,690.50 × 2,004.86
  4. Step 4: Simplify right side
    5,124.98x = 15,418,375.83
  5. Step 5: Solve for x
    x = 15,418,375.83/5,124.98
  6. Step 6: Final answer
    x = 3,008.48

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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.