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Finding the Fourth Proportional to 3,869.37, 5,338.31 and 2,472.93

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Solution

The fourth proportional to 3,869.37, 5,338.31 and 2,472.93 is: 3,411.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.37 : 5,338.31 = 2,472.93 : x
  2. Step 2: Convert to fraction form
    3,869.37/5,338.31 = 2,472.93/x
  3. Step 3: Cross multiply
    3,869.37x = 5,338.31 × 2,472.93
  4. Step 4: Simplify right side
    3,869.37x = 13,201,254.58
  5. Step 5: Solve for x
    x = 13,201,254.58/3,869.37
  6. Step 6: Final answer
    x = 3,411.73

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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.