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Finding the Fourth Proportional to 3,467.75, 4,785.35 and 1,975.66

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Solution

The fourth proportional to 3,467.75, 4,785.35 and 1,975.66 is: 2,726.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.75 : 4,785.35 = 1,975.66 : x
  2. Step 2: Convert to fraction form
    3,467.75/4,785.35 = 1,975.66/x
  3. Step 3: Cross multiply
    3,467.75x = 4,785.35 × 1,975.66
  4. Step 4: Simplify right side
    3,467.75x = 9,454,202.74
  5. Step 5: Solve for x
    x = 9,454,202.74/3,467.75
  6. Step 6: Final answer
    x = 2,726.33

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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.