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Finding the Fourth Proportional to 3,309.80, 4,564.86 and 2,910.60

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Solution

The fourth proportional to 3,309.80, 4,564.86 and 2,910.60 is: 4,014.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.80 : 4,564.86 = 2,910.60 : x
  2. Step 2: Convert to fraction form
    3,309.80/4,564.86 = 2,910.60/x
  3. Step 3: Cross multiply
    3,309.80x = 4,564.86 × 2,910.60
  4. Step 4: Simplify right side
    3,309.80x = 13,286,470.60
  5. Step 5: Solve for x
    x = 13,286,470.60/3,309.80
  6. Step 6: Final answer
    x = 4,014.29

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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.