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Finding the Fourth Proportional to 8,944.50, 13,419.13 and 3,101.10

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Solution

The fourth proportional to 8,944.50, 13,419.13 and 3,101.10 is: 4,652.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,944.50 : 13,419.13 = 3,101.10 : x
  2. Step 2: Convert to fraction form
    8,944.50/13,419.13 = 3,101.10/x
  3. Step 3: Cross multiply
    8,944.50x = 13,419.13 × 3,101.10
  4. Step 4: Simplify right side
    8,944.50x = 41,614,064.04
  5. Step 5: Solve for x
    x = 41,614,064.04/8,944.50
  6. Step 6: Final answer
    x = 4,652.48

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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.