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Finding the Fourth Proportional to 3,403.68, 5,107.12 and 2,992.16

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Solution

The fourth proportional to 3,403.68, 5,107.12 and 2,992.16 is: 4,489.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.68 : 5,107.12 = 2,992.16 : x
  2. Step 2: Convert to fraction form
    3,403.68/5,107.12 = 2,992.16/x
  3. Step 3: Cross multiply
    3,403.68x = 5,107.12 × 2,992.16
  4. Step 4: Simplify right side
    3,403.68x = 15,281,320.18
  5. Step 5: Solve for x
    x = 15,281,320.18/3,403.68
  6. Step 6: Final answer
    x = 4,489.65

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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.