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Finding the Fourth Proportional to 5,344.59, 8,009.82 and 3,868.75

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Solution

The fourth proportional to 5,344.59, 8,009.82 and 3,868.75 is: 5,798.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,344.59 : 8,009.82 = 3,868.75 : x
  2. Step 2: Convert to fraction form
    5,344.59/8,009.82 = 3,868.75/x
  3. Step 3: Cross multiply
    5,344.59x = 8,009.82 × 3,868.75
  4. Step 4: Simplify right side
    5,344.59x = 30,987,956.08
  5. Step 5: Solve for x
    x = 30,987,956.08/5,344.59
  6. Step 6: Final answer
    x = 5,798.01

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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.