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Finding the Fourth Proportional to 5,747.60, 8,623.80 and 1,853.20

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Solution

The fourth proportional to 5,747.60, 8,623.80 and 1,853.20 is: 2,780.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.60 : 8,623.80 = 1,853.20 : x
  2. Step 2: Convert to fraction form
    5,747.60/8,623.80 = 1,853.20/x
  3. Step 3: Cross multiply
    5,747.60x = 8,623.80 × 1,853.20
  4. Step 4: Simplify right side
    5,747.60x = 15,981,626.16
  5. Step 5: Solve for x
    x = 15,981,626.16/5,747.60
  6. Step 6: Final answer
    x = 2,780.57

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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.