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Finding the Fourth Proportional to 4,265.13, 6,348 and 4,224.09

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Solution

The fourth proportional to 4,265.13, 6,348 and 4,224.09 is: 6,286.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,265.13 : 6,348 = 4,224.09 : x
  2. Step 2: Convert to fraction form
    4,265.13/6,348 = 4,224.09/x
  3. Step 3: Cross multiply
    4,265.13x = 6,348 × 4,224.09
  4. Step 4: Simplify right side
    4,265.13x = 26,814,523.32
  5. Step 5: Solve for x
    x = 26,814,523.32/4,265.13
  6. Step 6: Final answer
    x = 6,286.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.