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Finding the Fourth Proportional to 5,680.75, 8,522.49 and 1,785.15

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Solution

The fourth proportional to 5,680.75, 8,522.49 and 1,785.15 is: 2,678.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,680.75 : 8,522.49 = 1,785.15 : x
  2. Step 2: Convert to fraction form
    5,680.75/8,522.49 = 1,785.15/x
  3. Step 3: Cross multiply
    5,680.75x = 8,522.49 × 1,785.15
  4. Step 4: Simplify right side
    5,680.75x = 15,213,923.02
  5. Step 5: Solve for x
    x = 15,213,923.02/5,680.75
  6. Step 6: Final answer
    x = 2,678.15

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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.