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Finding the Fourth Proportional to 5,708.81, 7,878.20 and 3,191.03

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Solution

The fourth proportional to 5,708.81, 7,878.20 and 3,191.03 is: 4,403.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.81 : 7,878.20 = 3,191.03 : x
  2. Step 2: Convert to fraction form
    5,708.81/7,878.20 = 3,191.03/x
  3. Step 3: Cross multiply
    5,708.81x = 7,878.20 × 3,191.03
  4. Step 4: Simplify right side
    5,708.81x = 25,139,517.20
  5. Step 5: Solve for x
    x = 25,139,517.20/5,708.81
  6. Step 6: Final answer
    x = 4,403.64

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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.