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Finding the Fourth Proportional to 6,469.41, 8,931.33 and 3,952.11

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Solution

The fourth proportional to 6,469.41, 8,931.33 and 3,952.11 is: 5,456.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.41 : 8,931.33 = 3,952.11 : x
  2. Step 2: Convert to fraction form
    6,469.41/8,931.33 = 3,952.11/x
  3. Step 3: Cross multiply
    6,469.41x = 8,931.33 × 3,952.11
  4. Step 4: Simplify right side
    6,469.41x = 35,297,598.61
  5. Step 5: Solve for x
    x = 35,297,598.61/6,469.41
  6. Step 6: Final answer
    x = 5,456.08

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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.