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Finding the Fourth Proportional to 3,402.74, 5,105.49 and 2,306.48

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Solution

The fourth proportional to 3,402.74, 5,105.49 and 2,306.48 is: 3,460.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.74 : 5,105.49 = 2,306.48 : x
  2. Step 2: Convert to fraction form
    3,402.74/5,105.49 = 2,306.48/x
  3. Step 3: Cross multiply
    3,402.74x = 5,105.49 × 2,306.48
  4. Step 4: Simplify right side
    3,402.74x = 11,775,710.58
  5. Step 5: Solve for x
    x = 11,775,710.58/3,402.74
  6. Step 6: Final answer
    x = 3,460.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.