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Finding the Fourth Proportional to 3,671.56, 5,066.49 and 2,099.62

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Solution

The fourth proportional to 3,671.56, 5,066.49 and 2,099.62 is: 2,897.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.56 : 5,066.49 = 2,099.62 : x
  2. Step 2: Convert to fraction form
    3,671.56/5,066.49 = 2,099.62/x
  3. Step 3: Cross multiply
    3,671.56x = 5,066.49 × 2,099.62
  4. Step 4: Simplify right side
    3,671.56x = 10,637,703.73
  5. Step 5: Solve for x
    x = 10,637,703.73/3,671.56
  6. Step 6: Final answer
    x = 2,897.33

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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.