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Finding the Fourth Proportional to 3,670.46, 5,066.12 and 2,099.48

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Solution

The fourth proportional to 3,670.46, 5,066.12 and 2,099.48 is: 2,897.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.46 : 5,066.12 = 2,099.48 : x
  2. Step 2: Convert to fraction form
    3,670.46/5,066.12 = 2,099.48/x
  3. Step 3: Cross multiply
    3,670.46x = 5,066.12 × 2,099.48
  4. Step 4: Simplify right side
    3,670.46x = 10,636,217.62
  5. Step 5: Solve for x
    x = 10,636,217.62/3,670.46
  6. Step 6: Final answer
    x = 2,897.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.