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Finding the Fourth Proportional to 3,877.74, 5,816.60 and 1,141.74

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Solution

The fourth proportional to 3,877.74, 5,816.60 and 1,141.74 is: 1,712.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.74 : 5,816.60 = 1,141.74 : x
  2. Step 2: Convert to fraction form
    3,877.74/5,816.60 = 1,141.74/x
  3. Step 3: Cross multiply
    3,877.74x = 5,816.60 × 1,141.74
  4. Step 4: Simplify right side
    3,877.74x = 6,641,039.18
  5. Step 5: Solve for x
    x = 6,641,039.18/3,877.74
  6. Step 6: Final answer
    x = 1,712.61

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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.