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Finding the Fourth Proportional to 3,632.32, 5,447.84 and 3,019.92

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Solution

The fourth proportional to 3,632.32, 5,447.84 and 3,019.92 is: 4,529.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.32 : 5,447.84 = 3,019.92 : x
  2. Step 2: Convert to fraction form
    3,632.32/5,447.84 = 3,019.92/x
  3. Step 3: Cross multiply
    3,632.32x = 5,447.84 × 3,019.92
  4. Step 4: Simplify right side
    3,632.32x = 16,452,040.97
  5. Step 5: Solve for x
    x = 16,452,040.97/3,632.32
  6. Step 6: Final answer
    x = 4,529.35

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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.