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Finding the Fourth Proportional to 3,793.28, 5,690.52 and 1,602.32

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Solution

The fourth proportional to 3,793.28, 5,690.52 and 1,602.32 is: 2,403.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.28 : 5,690.52 = 1,602.32 : x
  2. Step 2: Convert to fraction form
    3,793.28/5,690.52 = 1,602.32/x
  3. Step 3: Cross multiply
    3,793.28x = 5,690.52 × 1,602.32
  4. Step 4: Simplify right side
    3,793.28x = 9,118,034.01
  5. Step 5: Solve for x
    x = 9,118,034.01/3,793.28
  6. Step 6: Final answer
    x = 2,403.73

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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.