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Finding the Fourth Proportional to 5,876.17, 8,084.75 and 5,131.91

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Solution

The fourth proportional to 5,876.17, 8,084.75 and 5,131.91 is: 7,060.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.17 : 8,084.75 = 5,131.91 : x
  2. Step 2: Convert to fraction form
    5,876.17/8,084.75 = 5,131.91/x
  3. Step 3: Cross multiply
    5,876.17x = 8,084.75 × 5,131.91
  4. Step 4: Simplify right side
    5,876.17x = 41,490,203.92
  5. Step 5: Solve for x
    x = 41,490,203.92/5,876.17
  6. Step 6: Final answer
    x = 7,060.76

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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.