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Finding the Fourth Proportional to 3,728.15, 5,594.79 and 1,536.88

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Solution

The fourth proportional to 3,728.15, 5,594.79 and 1,536.88 is: 2,306.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.15 : 5,594.79 = 1,536.88 : x
  2. Step 2: Convert to fraction form
    3,728.15/5,594.79 = 1,536.88/x
  3. Step 3: Cross multiply
    3,728.15x = 5,594.79 × 1,536.88
  4. Step 4: Simplify right side
    3,728.15x = 8,598,520.86
  5. Step 5: Solve for x
    x = 8,598,520.86/3,728.15
  6. Step 6: Final answer
    x = 2,306.38

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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.