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Finding the Fourth Proportional to 5,734.80, 8,602.66 and 2,447.96

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Solution

The fourth proportional to 5,734.80, 8,602.66 and 2,447.96 is: 3,672.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.80 : 8,602.66 = 2,447.96 : x
  2. Step 2: Convert to fraction form
    5,734.80/8,602.66 = 2,447.96/x
  3. Step 3: Cross multiply
    5,734.80x = 8,602.66 × 2,447.96
  4. Step 4: Simplify right side
    5,734.80x = 21,058,967.57
  5. Step 5: Solve for x
    x = 21,058,967.57/5,734.80
  6. Step 6: Final answer
    x = 3,672.14

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Why These Related Problems?

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