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Finding the Fourth Proportional to 3,332.57, 4,998.83 and 867.38

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Solution

The fourth proportional to 3,332.57, 4,998.83 and 867.38 is: 1,301.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,332.57 : 4,998.83 = 867.38 : x
  2. Step 2: Convert to fraction form
    3,332.57/4,998.83 = 867.38/x
  3. Step 3: Cross multiply
    3,332.57x = 4,998.83 × 867.38
  4. Step 4: Simplify right side
    3,332.57x = 4,335,885.17
  5. Step 5: Solve for x
    x = 4,335,885.17/3,332.57
  6. Step 6: Final answer
    x = 1,301.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.