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Finding the Fourth Proportional to 3,877.49, 5,816.16 and 1,104.18

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Solution

The fourth proportional to 3,877.49, 5,816.16 and 1,104.18 is: 1,656.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.49 : 5,816.16 = 1,104.18 : x
  2. Step 2: Convert to fraction form
    3,877.49/5,816.16 = 1,104.18/x
  3. Step 3: Cross multiply
    3,877.49x = 5,816.16 × 1,104.18
  4. Step 4: Simplify right side
    3,877.49x = 6,422,087.55
  5. Step 5: Solve for x
    x = 6,422,087.55/3,877.49
  6. Step 6: Final answer
    x = 1,656.25

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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.