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Finding the Fourth Proportional to 5,232.75, 7,847.51 and 1,534.29

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Solution

The fourth proportional to 5,232.75, 7,847.51 and 1,534.29 is: 2,300.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.75 : 7,847.51 = 1,534.29 : x
  2. Step 2: Convert to fraction form
    5,232.75/7,847.51 = 1,534.29/x
  3. Step 3: Cross multiply
    5,232.75x = 7,847.51 × 1,534.29
  4. Step 4: Simplify right side
    5,232.75x = 12,040,348.45
  5. Step 5: Solve for x
    x = 12,040,348.45/5,232.75
  6. Step 6: Final answer
    x = 2,300.96

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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.