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Finding the Fourth Proportional to 6,342.53, 8,752.78 and 3,953.47

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Solution

The fourth proportional to 6,342.53, 8,752.78 and 3,953.47 is: 5,455.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.53 : 8,752.78 = 3,953.47 : x
  2. Step 2: Convert to fraction form
    6,342.53/8,752.78 = 3,953.47/x
  3. Step 3: Cross multiply
    6,342.53x = 8,752.78 × 3,953.47
  4. Step 4: Simplify right side
    6,342.53x = 34,603,833.38
  5. Step 5: Solve for x
    x = 34,603,833.38/6,342.53
  6. Step 6: Final answer
    x = 5,455.84

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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.