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Finding the Fourth Proportional to 3,343.26, 5,014.56 and 878.02

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Solution

The fourth proportional to 3,343.26, 5,014.56 and 878.02 is: 1,316.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343.26 : 5,014.56 = 878.02 : x
  2. Step 2: Convert to fraction form
    3,343.26/5,014.56 = 878.02/x
  3. Step 3: Cross multiply
    3,343.26x = 5,014.56 × 878.02
  4. Step 4: Simplify right side
    3,343.26x = 4,402,883.97
  5. Step 5: Solve for x
    x = 4,402,883.97/3,343.26
  6. Step 6: Final answer
    x = 1,316.94

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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.