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Finding the Fourth Proportional to 3,622.96, 5,433.79 and 1,648.13

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Solution

The fourth proportional to 3,622.96, 5,433.79 and 1,648.13 is: 2,471.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,622.96 : 5,433.79 = 1,648.13 : x
  2. Step 2: Convert to fraction form
    3,622.96/5,433.79 = 1,648.13/x
  3. Step 3: Cross multiply
    3,622.96x = 5,433.79 × 1,648.13
  4. Step 4: Simplify right side
    3,622.96x = 8,955,565.14
  5. Step 5: Solve for x
    x = 8,955,565.14/3,622.96
  6. Step 6: Final answer
    x = 2,471.90

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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.