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Finding the Fourth Proportional to 3,898.68, 5,380.40 and 2,571.45

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Solution

The fourth proportional to 3,898.68, 5,380.40 and 2,571.45 is: 3,548.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.68 : 5,380.40 = 2,571.45 : x
  2. Step 2: Convert to fraction form
    3,898.68/5,380.40 = 2,571.45/x
  3. Step 3: Cross multiply
    3,898.68x = 5,380.40 × 2,571.45
  4. Step 4: Simplify right side
    3,898.68x = 13,835,408.60
  5. Step 5: Solve for x
    x = 13,835,408.60/3,898.68
  6. Step 6: Final answer
    x = 3,548.74

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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.