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Finding the Fourth Proportional to 5,884.98, 8,119.80 and 4,310.34

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Solution

The fourth proportional to 5,884.98, 8,119.80 and 4,310.34 is: 5,947.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.98 : 8,119.80 = 4,310.34 : x
  2. Step 2: Convert to fraction form
    5,884.98/8,119.80 = 4,310.34/x
  3. Step 3: Cross multiply
    5,884.98x = 8,119.80 × 4,310.34
  4. Step 4: Simplify right side
    5,884.98x = 34,999,098.73
  5. Step 5: Solve for x
    x = 34,999,098.73/5,884.98
  6. Step 6: Final answer
    x = 5,947.19

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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.