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Finding the Fourth Proportional to 3,670.56, 5,066.26 and 2,099.54

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Solution

The fourth proportional to 3,670.56, 5,066.26 and 2,099.54 is: 2,897.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.56 : 5,066.26 = 2,099.54 : x
  2. Step 2: Convert to fraction form
    3,670.56/5,066.26 = 2,099.54/x
  3. Step 3: Cross multiply
    3,670.56x = 5,066.26 × 2,099.54
  4. Step 4: Simplify right side
    3,670.56x = 10,636,815.52
  5. Step 5: Solve for x
    x = 10,636,815.52/3,670.56
  6. Step 6: Final answer
    x = 2,897.87

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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.