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Finding the Fourth Proportional to 3,872.87, 5,347.58 and 2,381.46

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Solution

The fourth proportional to 3,872.87, 5,347.58 and 2,381.46 is: 3,288.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.87 : 5,347.58 = 2,381.46 : x
  2. Step 2: Convert to fraction form
    3,872.87/5,347.58 = 2,381.46/x
  3. Step 3: Cross multiply
    3,872.87x = 5,347.58 × 2,381.46
  4. Step 4: Simplify right side
    3,872.87x = 12,735,047.87
  5. Step 5: Solve for x
    x = 12,735,047.87/3,872.87
  6. Step 6: Final answer
    x = 3,288.27

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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.