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Finding the Fourth Proportional to 3,331.07, 4,996.58 and 865.88

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Solution

The fourth proportional to 3,331.07, 4,996.58 and 865.88 is: 1,298.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,331.07 : 4,996.58 = 865.88 : x
  2. Step 2: Convert to fraction form
    3,331.07/4,996.58 = 865.88/x
  3. Step 3: Cross multiply
    3,331.07x = 4,996.58 × 865.88
  4. Step 4: Simplify right side
    3,331.07x = 4,326,438.69
  5. Step 5: Solve for x
    x = 4,326,438.69/3,331.07
  6. Step 6: Final answer
    x = 1,298.81

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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.