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Finding the Fourth Proportional to 4,459.82, 6,689.81 and 1,687.80

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Solution

The fourth proportional to 4,459.82, 6,689.81 and 1,687.80 is: 2,531.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,459.82 : 6,689.81 = 1,687.80 : x
  2. Step 2: Convert to fraction form
    4,459.82/6,689.81 = 1,687.80/x
  3. Step 3: Cross multiply
    4,459.82x = 6,689.81 × 1,687.80
  4. Step 4: Simplify right side
    4,459.82x = 11,291,024.69
  5. Step 5: Solve for x
    x = 11,291,024.69/4,459.82
  6. Step 6: Final answer
    x = 2,531.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.