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Finding the Fourth Proportional to 5,734.73, 8,598.53 and 3,757.92

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Solution

The fourth proportional to 5,734.73, 8,598.53 and 3,757.92 is: 5,634.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.73 : 8,598.53 = 3,757.92 : x
  2. Step 2: Convert to fraction form
    5,734.73/8,598.53 = 3,757.92/x
  3. Step 3: Cross multiply
    5,734.73x = 8,598.53 × 3,757.92
  4. Step 4: Simplify right side
    5,734.73x = 32,312,569.07
  5. Step 5: Solve for x
    x = 32,312,569.07/5,734.73
  6. Step 6: Final answer
    x = 5,634.55

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1.5x scale

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.