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Finding the Fourth Proportional to 3,347.33, 5,014.71 and 2,306.07

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Solution

The fourth proportional to 3,347.33, 5,014.71 and 2,306.07 is: 3,454.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,347.33 : 5,014.71 = 2,306.07 : x
  2. Step 2: Convert to fraction form
    3,347.33/5,014.71 = 2,306.07/x
  3. Step 3: Cross multiply
    3,347.33x = 5,014.71 × 2,306.07
  4. Step 4: Simplify right side
    3,347.33x = 11,564,272.29
  5. Step 5: Solve for x
    x = 11,564,272.29/3,347.33
  6. Step 6: Final answer
    x = 3,454.78

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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.