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Finding the Fourth Proportional to 4,486.62, 6,729.13 and 1,365.87

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Solution

The fourth proportional to 4,486.62, 6,729.13 and 1,365.87 is: 2,048.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,486.62 : 6,729.13 = 1,365.87 : x
  2. Step 2: Convert to fraction form
    4,486.62/6,729.13 = 1,365.87/x
  3. Step 3: Cross multiply
    4,486.62x = 6,729.13 × 1,365.87
  4. Step 4: Simplify right side
    4,486.62x = 9,191,116.79
  5. Step 5: Solve for x
    x = 9,191,116.79/4,486.62
  6. Step 6: Final answer
    x = 2,048.56

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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.