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Finding the Fourth Proportional to 5,632.32, 8,446.32 and 3,895.68

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Solution

The fourth proportional to 5,632.32, 8,446.32 and 3,895.68 is: 5,842.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,632.32 : 8,446.32 = 3,895.68 : x
  2. Step 2: Convert to fraction form
    5,632.32/8,446.32 = 3,895.68/x
  3. Step 3: Cross multiply
    5,632.32x = 8,446.32 × 3,895.68
  4. Step 4: Simplify right side
    5,632.32x = 32,904,159.90
  5. Step 5: Solve for x
    x = 32,904,159.90/5,632.32
  6. Step 6: Final answer
    x = 5,842.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.