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Finding the Fourth Proportional to 6,052.50, 9,078.84 and 1,948.50

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Solution

The fourth proportional to 6,052.50, 9,078.84 and 1,948.50 is: 2,922.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,052.50 : 9,078.84 = 1,948.50 : x
  2. Step 2: Convert to fraction form
    6,052.50/9,078.84 = 1,948.50/x
  3. Step 3: Cross multiply
    6,052.50x = 9,078.84 × 1,948.50
  4. Step 4: Simplify right side
    6,052.50x = 17,690,119.74
  5. Step 5: Solve for x
    x = 17,690,119.74/6,052.50
  6. Step 6: Final answer
    x = 2,922.78

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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.