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Finding the Fourth Proportional to 3,343.53, 5,015.45 and 878.60

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Solution

The fourth proportional to 3,343.53, 5,015.45 and 878.60 is: 1,317.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343.53 : 5,015.45 = 878.60 : x
  2. Step 2: Convert to fraction form
    3,343.53/5,015.45 = 878.60/x
  3. Step 3: Cross multiply
    3,343.53x = 5,015.45 × 878.60
  4. Step 4: Simplify right side
    3,343.53x = 4,406,574.37
  5. Step 5: Solve for x
    x = 4,406,574.37/3,343.53
  6. Step 6: Final answer
    x = 1,317.94

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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.