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Finding the Fourth Proportional to 5,734.64, 8,594.67 and 2,616.35

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Solution

The fourth proportional to 5,734.64, 8,594.67 and 2,616.35 is: 3,921.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.64 : 8,594.67 = 2,616.35 : x
  2. Step 2: Convert to fraction form
    5,734.64/8,594.67 = 2,616.35/x
  3. Step 3: Cross multiply
    5,734.64x = 8,594.67 × 2,616.35
  4. Step 4: Simplify right side
    5,734.64x = 22,486,631.69
  5. Step 5: Solve for x
    x = 22,486,631.69/5,734.64
  6. Step 6: Final answer
    x = 3,921.19

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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.