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Finding the Fourth Proportional to 3,578.37, 5,366.20 and 2,098.16

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Solution

The fourth proportional to 3,578.37, 5,366.20 and 2,098.16 is: 3,146.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.37 : 5,366.20 = 2,098.16 : x
  2. Step 2: Convert to fraction form
    3,578.37/5,366.20 = 2,098.16/x
  3. Step 3: Cross multiply
    3,578.37x = 5,366.20 × 2,098.16
  4. Step 4: Simplify right side
    3,578.37x = 11,259,146.19
  5. Step 5: Solve for x
    x = 11,259,146.19/3,578.37
  6. Step 6: Final answer
    x = 3,146.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.