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Finding the Fourth Proportional to 5,847.16, 8,772.24 and 1,687.49

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Solution

The fourth proportional to 5,847.16, 8,772.24 and 1,687.49 is: 2,531.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.16 : 8,772.24 = 1,687.49 : x
  2. Step 2: Convert to fraction form
    5,847.16/8,772.24 = 1,687.49/x
  3. Step 3: Cross multiply
    5,847.16x = 8,772.24 × 1,687.49
  4. Step 4: Simplify right side
    5,847.16x = 14,803,067.28
  5. Step 5: Solve for x
    x = 14,803,067.28/5,847.16
  6. Step 6: Final answer
    x = 2,531.67

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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.