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Finding the Fourth Proportional to 6,538.25, 9,019.80 and 3,884.15

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Solution

The fourth proportional to 6,538.25, 9,019.80 and 3,884.15 is: 5,358.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.25 : 9,019.80 = 3,884.15 : x
  2. Step 2: Convert to fraction form
    6,538.25/9,019.80 = 3,884.15/x
  3. Step 3: Cross multiply
    6,538.25x = 9,019.80 × 3,884.15
  4. Step 4: Simplify right side
    6,538.25x = 35,034,211.07
  5. Step 5: Solve for x
    x = 35,034,211.07/6,538.25
  6. Step 6: Final answer
    x = 5,358.35

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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.