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Finding the Fourth Proportional to 3,467.76, 4,785.53 and 1,895.86

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Solution

The fourth proportional to 3,467.76, 4,785.53 and 1,895.86 is: 2,616.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.76 : 4,785.53 = 1,895.86 : x
  2. Step 2: Convert to fraction form
    3,467.76/4,785.53 = 1,895.86/x
  3. Step 3: Cross multiply
    3,467.76x = 4,785.53 × 1,895.86
  4. Step 4: Simplify right side
    3,467.76x = 9,072,694.91
  5. Step 5: Solve for x
    x = 9,072,694.91/3,467.76
  6. Step 6: Final answer
    x = 2,616.30

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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.