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Finding the Fourth Proportional to 4,219.80, 5,781.03 and 4,062.05

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Solution

The fourth proportional to 4,219.80, 5,781.03 and 4,062.05 is: 5,564.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219.80 : 5,781.03 = 4,062.05 : x
  2. Step 2: Convert to fraction form
    4,219.80/5,781.03 = 4,062.05/x
  3. Step 3: Cross multiply
    4,219.80x = 5,781.03 × 4,062.05
  4. Step 4: Simplify right side
    4,219.80x = 23,482,832.91
  5. Step 5: Solve for x
    x = 23,482,832.91/4,219.80
  6. Step 6: Final answer
    x = 5,564.92

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.