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Finding the Fourth Proportional to 3,898.34, 5,377.70 and 2,571.56

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Solution

The fourth proportional to 3,898.34, 5,377.70 and 2,571.56 is: 3,547.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.34 : 5,377.70 = 2,571.56 : x
  2. Step 2: Convert to fraction form
    3,898.34/5,377.70 = 2,571.56/x
  3. Step 3: Cross multiply
    3,898.34x = 5,377.70 × 2,571.56
  4. Step 4: Simplify right side
    3,898.34x = 13,829,078.21
  5. Step 5: Solve for x
    x = 13,829,078.21/3,898.34
  6. Step 6: Final answer
    x = 3,547.43

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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.