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Finding the Fourth Proportional to 5,119.29, 7,672.23 and 4,990.50

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Solution

The fourth proportional to 5,119.29, 7,672.23 and 4,990.50 is: 7,479.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,119.29 : 7,672.23 = 4,990.50 : x
  2. Step 2: Convert to fraction form
    5,119.29/7,672.23 = 4,990.50/x
  3. Step 3: Cross multiply
    5,119.29x = 7,672.23 × 4,990.50
  4. Step 4: Simplify right side
    5,119.29x = 38,288,263.82
  5. Step 5: Solve for x
    x = 38,288,263.82/5,119.29
  6. Step 6: Final answer
    x = 7,479.21

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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.