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Finding the Fourth Proportional to 3,670.13, 5,064.78 and 2,098.22

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Solution

The fourth proportional to 3,670.13, 5,064.78 and 2,098.22 is: 2,895.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.13 : 5,064.78 = 2,098.22 : x
  2. Step 2: Convert to fraction form
    3,670.13/5,064.78 = 2,098.22/x
  3. Step 3: Cross multiply
    3,670.13x = 5,064.78 × 2,098.22
  4. Step 4: Simplify right side
    3,670.13x = 10,627,022.69
  5. Step 5: Solve for x
    x = 10,627,022.69/3,670.13
  6. Step 6: Final answer
    x = 2,895.54

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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.