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Finding the Fourth Proportional to 3,670.77, 5,066.01 and 2,098.56

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Solution

The fourth proportional to 3,670.77, 5,066.01 and 2,098.56 is: 2,896.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.77 : 5,066.01 = 2,098.56 : x
  2. Step 2: Convert to fraction form
    3,670.77/5,066.01 = 2,098.56/x
  3. Step 3: Cross multiply
    3,670.77x = 5,066.01 × 2,098.56
  4. Step 4: Simplify right side
    3,670.77x = 10,631,325.95
  5. Step 5: Solve for x
    x = 10,631,325.95/3,670.77
  6. Step 6: Final answer
    x = 2,896.21

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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.