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Finding the Fourth Proportional to 4,871.44, 6,705.48 and 4,489.12

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Solution

The fourth proportional to 4,871.44, 6,705.48 and 4,489.12 is: 6,179.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.44 : 6,705.48 = 4,489.12 : x
  2. Step 2: Convert to fraction form
    4,871.44/6,705.48 = 4,489.12/x
  3. Step 3: Cross multiply
    4,871.44x = 6,705.48 × 4,489.12
  4. Step 4: Simplify right side
    4,871.44x = 30,101,704.38
  5. Step 5: Solve for x
    x = 30,101,704.38/4,871.44
  6. Step 6: Final answer
    x = 6,179.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.