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Finding the Fourth Proportional to 5,876.88, 8,117.22 and 4,281

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Solution

The fourth proportional to 5,876.88, 8,117.22 and 4,281 is: 5,912.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.88 : 8,117.22 = 4,281 : x
  2. Step 2: Convert to fraction form
    5,876.88/8,117.22 = 4,281/x
  3. Step 3: Cross multiply
    5,876.88x = 8,117.22 × 4,281
  4. Step 4: Simplify right side
    5,876.88x = 34,749,818.82
  5. Step 5: Solve for x
    x = 34,749,818.82/5,876.88
  6. Step 6: Final answer
    x = 5,912.97

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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.