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Finding the Fourth Proportional to 5,863.24, 8,782.62 and 3,515.80

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Solution

The fourth proportional to 5,863.24, 8,782.62 and 3,515.80 is: 5,266.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863.24 : 8,782.62 = 3,515.80 : x
  2. Step 2: Convert to fraction form
    5,863.24/8,782.62 = 3,515.80/x
  3. Step 3: Cross multiply
    5,863.24x = 8,782.62 × 3,515.80
  4. Step 4: Simplify right side
    5,863.24x = 30,877,935.40
  5. Step 5: Solve for x
    x = 30,877,935.40/5,863.24
  6. Step 6: Final answer
    x = 5,266.36

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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.