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Finding the Fourth Proportional to 5,754.78, 8,632.20 and 1,594.80

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Solution

The fourth proportional to 5,754.78, 8,632.20 and 1,594.80 is: 2,392.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.78 : 8,632.20 = 1,594.80 : x
  2. Step 2: Convert to fraction form
    5,754.78/8,632.20 = 1,594.80/x
  3. Step 3: Cross multiply
    5,754.78x = 8,632.20 × 1,594.80
  4. Step 4: Simplify right side
    5,754.78x = 13,766,632.56
  5. Step 5: Solve for x
    x = 13,766,632.56/5,754.78
  6. Step 6: Final answer
    x = 2,392.21

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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.