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Finding the Fourth Proportional to 4,887.50, 7,337.13 and 4,117.19

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Solution

The fourth proportional to 4,887.50, 7,337.13 and 4,117.19 is: 6,180.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,887.50 : 7,337.13 = 4,117.19 : x
  2. Step 2: Convert to fraction form
    4,887.50/7,337.13 = 4,117.19/x
  3. Step 3: Cross multiply
    4,887.50x = 7,337.13 × 4,117.19
  4. Step 4: Simplify right side
    4,887.50x = 30,208,337.68
  5. Step 5: Solve for x
    x = 30,208,337.68/4,887.50
  6. Step 6: Final answer
    x = 6,180.73

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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.