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Finding the Fourth Proportional to 3,394.74, 4,684.70 and 1,902.72

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Solution

The fourth proportional to 3,394.74, 4,684.70 and 1,902.72 is: 2,625.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.74 : 4,684.70 = 1,902.72 : x
  2. Step 2: Convert to fraction form
    3,394.74/4,684.70 = 1,902.72/x
  3. Step 3: Cross multiply
    3,394.74x = 4,684.70 × 1,902.72
  4. Step 4: Simplify right side
    3,394.74x = 8,913,672.38
  5. Step 5: Solve for x
    x = 8,913,672.38/3,394.74
  6. Step 6: Final answer
    x = 2,625.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.