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Finding the Fourth Proportional to 6,215.74, 8,578.29 and 3,421.42

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Solution

The fourth proportional to 6,215.74, 8,578.29 and 3,421.42 is: 4,721.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,215.74 : 8,578.29 = 3,421.42 : x
  2. Step 2: Convert to fraction form
    6,215.74/8,578.29 = 3,421.42/x
  3. Step 3: Cross multiply
    6,215.74x = 8,578.29 × 3,421.42
  4. Step 4: Simplify right side
    6,215.74x = 29,349,932.97
  5. Step 5: Solve for x
    x = 29,349,932.97/6,215.74
  6. Step 6: Final answer
    x = 4,721.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.