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Finding the Fourth Proportional to 5,852.89, 8,782.17 and 5,371.75

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Solution

The fourth proportional to 5,852.89, 8,782.17 and 5,371.75 is: 8,060.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.89 : 8,782.17 = 5,371.75 : x
  2. Step 2: Convert to fraction form
    5,852.89/8,782.17 = 5,371.75/x
  3. Step 3: Cross multiply
    5,852.89x = 8,782.17 × 5,371.75
  4. Step 4: Simplify right side
    5,852.89x = 47,175,550.93
  5. Step 5: Solve for x
    x = 47,175,550.93/5,852.89
  6. Step 6: Final answer
    x = 8,060.22

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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.