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Finding the Fourth Proportional to 3,467.85, 4,785.65 and 1,895.97

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Solution

The fourth proportional to 3,467.85, 4,785.65 and 1,895.97 is: 2,616.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.85 : 4,785.65 = 1,895.97 : x
  2. Step 2: Convert to fraction form
    3,467.85/4,785.65 = 1,895.97/x
  3. Step 3: Cross multiply
    3,467.85x = 4,785.65 × 1,895.97
  4. Step 4: Simplify right side
    3,467.85x = 9,073,439.35
  5. Step 5: Solve for x
    x = 9,073,439.35/3,467.85
  6. Step 6: Final answer
    x = 2,616.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.