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Finding the Fourth Proportional to 6,342.42, 8,752.46 and 3,509.57

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Solution

The fourth proportional to 6,342.42, 8,752.46 and 3,509.57 is: 4,843.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.42 : 8,752.46 = 3,509.57 : x
  2. Step 2: Convert to fraction form
    6,342.42/8,752.46 = 3,509.57/x
  3. Step 3: Cross multiply
    6,342.42x = 8,752.46 × 3,509.57
  4. Step 4: Simplify right side
    6,342.42x = 30,717,375.38
  5. Step 5: Solve for x
    x = 30,717,375.38/6,342.42
  6. Step 6: Final answer
    x = 4,843.16

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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.