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Finding the Fourth Proportional to 3,204.38, 4,800.12 and 2,547.32

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Solution

The fourth proportional to 3,204.38, 4,800.12 and 2,547.32 is: 3,815.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.38 : 4,800.12 = 2,547.32 : x
  2. Step 2: Convert to fraction form
    3,204.38/4,800.12 = 2,547.32/x
  3. Step 3: Cross multiply
    3,204.38x = 4,800.12 × 2,547.32
  4. Step 4: Simplify right side
    3,204.38x = 12,227,441.68
  5. Step 5: Solve for x
    x = 12,227,441.68/3,204.38
  6. Step 6: Final answer
    x = 3,815.85

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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.