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Finding the Fourth Proportional to 3,404.98, 4,699.38 and 2,079.46

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Solution

The fourth proportional to 3,404.98, 4,699.38 and 2,079.46 is: 2,869.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.98 : 4,699.38 = 2,079.46 : x
  2. Step 2: Convert to fraction form
    3,404.98/4,699.38 = 2,079.46/x
  3. Step 3: Cross multiply
    3,404.98x = 4,699.38 × 2,079.46
  4. Step 4: Simplify right side
    3,404.98x = 9,772,172.73
  5. Step 5: Solve for x
    x = 9,772,172.73/3,404.98
  6. Step 6: Final answer
    x = 2,869.96

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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.