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Finding the Fourth Proportional to 3,438.72, 4,748.40 and 2,394

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Solution

The fourth proportional to 3,438.72, 4,748.40 and 2,394 is: 3,305.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.72 : 4,748.40 = 2,394 : x
  2. Step 2: Convert to fraction form
    3,438.72/4,748.40 = 2,394/x
  3. Step 3: Cross multiply
    3,438.72x = 4,748.40 × 2,394
  4. Step 4: Simplify right side
    3,438.72x = 11,367,669.60
  5. Step 5: Solve for x
    x = 11,367,669.60/3,438.72
  6. Step 6: Final answer
    x = 3,305.79

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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.