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Finding the Fourth Proportional to 5,877.80, 8,111.04 and 4,478.12

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Solution

The fourth proportional to 5,877.80, 8,111.04 and 4,478.12 is: 6,179.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.80 : 8,111.04 = 4,478.12 : x
  2. Step 2: Convert to fraction form
    5,877.80/8,111.04 = 4,478.12/x
  3. Step 3: Cross multiply
    5,877.80x = 8,111.04 × 4,478.12
  4. Step 4: Simplify right side
    5,877.80x = 36,322,210.44
  5. Step 5: Solve for x
    x = 36,322,210.44/5,877.80
  6. Step 6: Final answer
    x = 6,179.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.