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Finding the Fourth Proportional to 7,228.57, 10,842.72 and 2,298.55

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Solution

The fourth proportional to 7,228.57, 10,842.72 and 2,298.55 is: 3,447.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.57 : 10,842.72 = 2,298.55 : x
  2. Step 2: Convert to fraction form
    7,228.57/10,842.72 = 2,298.55/x
  3. Step 3: Cross multiply
    7,228.57x = 10,842.72 × 2,298.55
  4. Step 4: Simplify right side
    7,228.57x = 24,922,534.06
  5. Step 5: Solve for x
    x = 24,922,534.06/7,228.57
  6. Step 6: Final answer
    x = 3,447.78

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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.