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Finding the Fourth Proportional to 3,877.80, 5,816.63 and 1,104.49

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Solution

The fourth proportional to 3,877.80, 5,816.63 and 1,104.49 is: 1,656.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.80 : 5,816.63 = 1,104.49 : x
  2. Step 2: Convert to fraction form
    3,877.80/5,816.63 = 1,104.49/x
  3. Step 3: Cross multiply
    3,877.80x = 5,816.63 × 1,104.49
  4. Step 4: Simplify right side
    3,877.80x = 6,424,422.83
  5. Step 5: Solve for x
    x = 6,424,422.83/3,877.80
  6. Step 6: Final answer
    x = 1,656.72

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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.