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Finding the Fourth Proportional to 3,670.14, 5,065.02 and 2,098.20

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Solution

The fourth proportional to 3,670.14, 5,065.02 and 2,098.20 is: 2,895.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.14 : 5,065.02 = 2,098.20 : x
  2. Step 2: Convert to fraction form
    3,670.14/5,065.02 = 2,098.20/x
  3. Step 3: Cross multiply
    3,670.14x = 5,065.02 × 2,098.20
  4. Step 4: Simplify right side
    3,670.14x = 10,627,424.96
  5. Step 5: Solve for x
    x = 10,627,424.96/3,670.14
  6. Step 6: Final answer
    x = 2,895.65

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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.