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Finding the Fourth Proportional to 5,881.34, 8,116.36 and 3,229

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Solution

The fourth proportional to 5,881.34, 8,116.36 and 3,229 is: 4,456.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881.34 : 8,116.36 = 3,229 : x
  2. Step 2: Convert to fraction form
    5,881.34/8,116.36 = 3,229/x
  3. Step 3: Cross multiply
    5,881.34x = 8,116.36 × 3,229
  4. Step 4: Simplify right side
    5,881.34x = 26,207,726.44
  5. Step 5: Solve for x
    x = 26,207,726.44/5,881.34
  6. Step 6: Final answer
    x = 4,456.08

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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.