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Finding the Fourth Proportional to 3,394.71, 4,680 and 2,902.59

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Solution

The fourth proportional to 3,394.71, 4,680 and 2,902.59 is: 4,001.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.71 : 4,680 = 2,902.59 : x
  2. Step 2: Convert to fraction form
    3,394.71/4,680 = 2,902.59/x
  3. Step 3: Cross multiply
    3,394.71x = 4,680 × 2,902.59
  4. Step 4: Simplify right side
    3,394.71x = 13,584,121.20
  5. Step 5: Solve for x
    x = 13,584,121.20/3,394.71
  6. Step 6: Final answer
    x = 4,001.56

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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.