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Finding the Fourth Proportional to 3,467.78, 4,785.32 and 1,975.66

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Solution

The fourth proportional to 3,467.78, 4,785.32 and 1,975.66 is: 2,726.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.78 : 4,785.32 = 1,975.66 : x
  2. Step 2: Convert to fraction form
    3,467.78/4,785.32 = 1,975.66/x
  3. Step 3: Cross multiply
    3,467.78x = 4,785.32 × 1,975.66
  4. Step 4: Simplify right side
    3,467.78x = 9,454,165.31
  5. Step 5: Solve for x
    x = 9,454,165.31/3,467.78
  6. Step 6: Final answer
    x = 2,726.29

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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.