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Finding the Fourth Proportional to 3,468.65, 4,785.39 and 2,209.48

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Solution

The fourth proportional to 3,468.65, 4,785.39 and 2,209.48 is: 3,048.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.65 : 4,785.39 = 2,209.48 : x
  2. Step 2: Convert to fraction form
    3,468.65/4,785.39 = 2,209.48/x
  3. Step 3: Cross multiply
    3,468.65x = 4,785.39 × 2,209.48
  4. Step 4: Simplify right side
    3,468.65x = 10,573,223.50
  5. Step 5: Solve for x
    x = 10,573,223.50/3,468.65
  6. Step 6: Final answer
    x = 3,048.22

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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.