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Finding the Fourth Proportional to 5,697.26, 7,862.82 and 3,180.24

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Solution

The fourth proportional to 5,697.26, 7,862.82 and 3,180.24 is: 4,389.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.26 : 7,862.82 = 3,180.24 : x
  2. Step 2: Convert to fraction form
    5,697.26/7,862.82 = 3,180.24/x
  3. Step 3: Cross multiply
    5,697.26x = 7,862.82 × 3,180.24
  4. Step 4: Simplify right side
    5,697.26x = 25,005,638.78
  5. Step 5: Solve for x
    x = 25,005,638.78/5,697.26
  6. Step 6: Final answer
    x = 4,389.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.