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Finding the Fourth Proportional to 3,405.07, 4,695.87 and 2,208.80

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Solution

The fourth proportional to 3,405.07, 4,695.87 and 2,208.80 is: 3,046.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.07 : 4,695.87 = 2,208.80 : x
  2. Step 2: Convert to fraction form
    3,405.07/4,695.87 = 2,208.80/x
  3. Step 3: Cross multiply
    3,405.07x = 4,695.87 × 2,208.80
  4. Step 4: Simplify right side
    3,405.07x = 10,372,237.66
  5. Step 5: Solve for x
    x = 10,372,237.66/3,405.07
  6. Step 6: Final answer
    x = 3,046.12

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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.