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Finding the Fourth Proportional to 5,705.89, 7,884.19 and 4,390.96

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Solution

The fourth proportional to 5,705.89, 7,884.19 and 4,390.96 is: 6,067.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.89 : 7,884.19 = 4,390.96 : x
  2. Step 2: Convert to fraction form
    5,705.89/7,884.19 = 4,390.96/x
  3. Step 3: Cross multiply
    5,705.89x = 7,884.19 × 4,390.96
  4. Step 4: Simplify right side
    5,705.89x = 34,619,123.50
  5. Step 5: Solve for x
    x = 34,619,123.50/5,705.89
  6. Step 6: Final answer
    x = 6,067.26

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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.