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Finding the Fourth Proportional to 3,502.88, 4,834.31 and 2,617.14

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Solution

The fourth proportional to 3,502.88, 4,834.31 and 2,617.14 is: 3,611.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.88 : 4,834.31 = 2,617.14 : x
  2. Step 2: Convert to fraction form
    3,502.88/4,834.31 = 2,617.14/x
  3. Step 3: Cross multiply
    3,502.88x = 4,834.31 × 2,617.14
  4. Step 4: Simplify right side
    3,502.88x = 12,652,090.74
  5. Step 5: Solve for x
    x = 12,652,090.74/3,502.88
  6. Step 6: Final answer
    x = 3,611.91

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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.