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Finding the Fourth Proportional to 3,467.64, 4,785.26 and 1,895.70

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Solution

The fourth proportional to 3,467.64, 4,785.26 and 1,895.70 is: 2,616.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.64 : 4,785.26 = 1,895.70 : x
  2. Step 2: Convert to fraction form
    3,467.64/4,785.26 = 1,895.70/x
  3. Step 3: Cross multiply
    3,467.64x = 4,785.26 × 1,895.70
  4. Step 4: Simplify right side
    3,467.64x = 9,071,417.38
  5. Step 5: Solve for x
    x = 9,071,417.38/3,467.64
  6. Step 6: Final answer
    x = 2,616.02

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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.