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Finding the Fourth Proportional to 3,467.84, 4,785.42 and 1,895.63

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Solution

The fourth proportional to 3,467.84, 4,785.42 and 1,895.63 is: 2,615.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.84 : 4,785.42 = 1,895.63 : x
  2. Step 2: Convert to fraction form
    3,467.84/4,785.42 = 1,895.63/x
  3. Step 3: Cross multiply
    3,467.84x = 4,785.42 × 1,895.63
  4. Step 4: Simplify right side
    3,467.84x = 9,071,361.79
  5. Step 5: Solve for x
    x = 9,071,361.79/3,467.84
  6. Step 6: Final answer
    x = 2,615.86

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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.