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Finding the Fourth Proportional to 6,048.87, 9,076.80 and 2,538.57

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Solution

The fourth proportional to 6,048.87, 9,076.80 and 2,538.57 is: 3,809.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,048.87 : 9,076.80 = 2,538.57 : x
  2. Step 2: Convert to fraction form
    6,048.87/9,076.80 = 2,538.57/x
  3. Step 3: Cross multiply
    6,048.87x = 9,076.80 × 2,538.57
  4. Step 4: Simplify right side
    6,048.87x = 23,042,092.18
  5. Step 5: Solve for x
    x = 23,042,092.18/6,048.87
  6. Step 6: Final answer
    x = 3,809.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.