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Finding the Fourth Proportional to 3,864.96, 5,332.50 and 2,293.20

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Solution

The fourth proportional to 3,864.96, 5,332.50 and 2,293.20 is: 3,163.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.96 : 5,332.50 = 2,293.20 : x
  2. Step 2: Convert to fraction form
    3,864.96/5,332.50 = 2,293.20/x
  3. Step 3: Cross multiply
    3,864.96x = 5,332.50 × 2,293.20
  4. Step 4: Simplify right side
    3,864.96x = 12,228,489.00
  5. Step 5: Solve for x
    x = 12,228,489.00/3,864.96
  6. Step 6: Final answer
    x = 3,163.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.