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Finding the Fourth Proportional to 3,343.75, 5,015.91 and 878.56

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Solution

The fourth proportional to 3,343.75, 5,015.91 and 878.56 is: 1,317.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343.75 : 5,015.91 = 878.56 : x
  2. Step 2: Convert to fraction form
    3,343.75/5,015.91 = 878.56/x
  3. Step 3: Cross multiply
    3,343.75x = 5,015.91 × 878.56
  4. Step 4: Simplify right side
    3,343.75x = 4,406,777.89
  5. Step 5: Solve for x
    x = 4,406,777.89/3,343.75
  6. Step 6: Final answer
    x = 1,317.91

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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.