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Finding the Fourth Proportional to 6,154.40, 9,230.70 and 2,257.96

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Solution

The fourth proportional to 6,154.40, 9,230.70 and 2,257.96 is: 3,386.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.40 : 9,230.70 = 2,257.96 : x
  2. Step 2: Convert to fraction form
    6,154.40/9,230.70 = 2,257.96/x
  3. Step 3: Cross multiply
    6,154.40x = 9,230.70 × 2,257.96
  4. Step 4: Simplify right side
    6,154.40x = 20,842,551.37
  5. Step 5: Solve for x
    x = 20,842,551.37/6,154.40
  6. Step 6: Final answer
    x = 3,386.61

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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.