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Finding the Fourth Proportional to 5,632.24, 8,439.24 and 3,434.32

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Solution

The fourth proportional to 5,632.24, 8,439.24 and 3,434.32 is: 5,145.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.24 : 8,439.24 = 3,434.32 : x
  2. Step 2: Convert to fraction form
    5,632.24/8,439.24 = 3,434.32/x
  3. Step 3: Cross multiply
    5,632.24x = 8,439.24 × 3,434.32
  4. Step 4: Simplify right side
    5,632.24x = 28,983,050.72
  5. Step 5: Solve for x
    x = 28,983,050.72/5,632.24
  6. Step 6: Final answer
    x = 5,145.92

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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.