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Finding the Fourth Proportional to 5,251.78, 7,877.83 and 1,356.19

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Solution

The fourth proportional to 5,251.78, 7,877.83 and 1,356.19 is: 2,034.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251.78 : 7,877.83 = 1,356.19 : x
  2. Step 2: Convert to fraction form
    5,251.78/7,877.83 = 1,356.19/x
  3. Step 3: Cross multiply
    5,251.78x = 7,877.83 × 1,356.19
  4. Step 4: Simplify right side
    5,251.78x = 10,683,834.27
  5. Step 5: Solve for x
    x = 10,683,834.27/5,251.78
  6. Step 6: Final answer
    x = 2,034.33

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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.