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Finding the Fourth Proportional to 6,538, 9,023.60 and 3,886.80

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Solution

The fourth proportional to 6,538, 9,023.60 and 3,886.80 is: 5,364.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538 : 9,023.60 = 3,886.80 : x
  2. Step 2: Convert to fraction form
    6,538/9,023.60 = 3,886.80/x
  3. Step 3: Cross multiply
    6,538x = 9,023.60 × 3,886.80
  4. Step 4: Simplify right side
    6,538x = 35,072,928.48
  5. Step 5: Solve for x
    x = 35,072,928.48/6,538
  6. Step 6: Final answer
    x = 5,364.47

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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.