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Finding the Fourth Proportional to 3,400.96, 4,689.48 and 2,902.72

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Solution

The fourth proportional to 3,400.96, 4,689.48 and 2,902.72 is: 4,002.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.96 : 4,689.48 = 2,902.72 : x
  2. Step 2: Convert to fraction form
    3,400.96/4,689.48 = 2,902.72/x
  3. Step 3: Cross multiply
    3,400.96x = 4,689.48 × 2,902.72
  4. Step 4: Simplify right side
    3,400.96x = 13,612,247.39
  5. Step 5: Solve for x
    x = 13,612,247.39/3,400.96
  6. Step 6: Final answer
    x = 4,002.47

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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.