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Finding the Fourth Proportional to 5,806.30, 8,702.96 and 2,514.46

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Solution

The fourth proportional to 5,806.30, 8,702.96 and 2,514.46 is: 3,768.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.30 : 8,702.96 = 2,514.46 : x
  2. Step 2: Convert to fraction form
    5,806.30/8,702.96 = 2,514.46/x
  3. Step 3: Cross multiply
    5,806.30x = 8,702.96 × 2,514.46
  4. Step 4: Simplify right side
    5,806.30x = 21,883,244.80
  5. Step 5: Solve for x
    x = 21,883,244.80/5,806.30
  6. Step 6: Final answer
    x = 3,768.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.