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Finding the Fourth Proportional to 3,346.66, 5,020.02 and 881.83

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Solution

The fourth proportional to 3,346.66, 5,020.02 and 881.83 is: 1,322.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,346.66 : 5,020.02 = 881.83 : x
  2. Step 2: Convert to fraction form
    3,346.66/5,020.02 = 881.83/x
  3. Step 3: Cross multiply
    3,346.66x = 5,020.02 × 881.83
  4. Step 4: Simplify right side
    3,346.66x = 4,426,791.69
  5. Step 5: Solve for x
    x = 4,426,791.69/3,346.66
  6. Step 6: Final answer
    x = 1,322.75

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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.