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Finding the Fourth Proportional to 3,887.48, 5,820.24 and 2,586.44

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Solution

The fourth proportional to 3,887.48, 5,820.24 and 2,586.44 is: 3,872.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.48 : 5,820.24 = 2,586.44 : x
  2. Step 2: Convert to fraction form
    3,887.48/5,820.24 = 2,586.44/x
  3. Step 3: Cross multiply
    3,887.48x = 5,820.24 × 2,586.44
  4. Step 4: Simplify right side
    3,887.48x = 15,053,701.55
  5. Step 5: Solve for x
    x = 15,053,701.55/3,887.48
  6. Step 6: Final answer
    x = 3,872.35

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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.