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Finding the Fourth Proportional to 3,719.16, 5,578.70 and 908.02

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Solution

The fourth proportional to 3,719.16, 5,578.70 and 908.02 is: 1,362.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,719.16 : 5,578.70 = 908.02 : x
  2. Step 2: Convert to fraction form
    3,719.16/5,578.70 = 908.02/x
  3. Step 3: Cross multiply
    3,719.16x = 5,578.70 × 908.02
  4. Step 4: Simplify right side
    3,719.16x = 5,065,571.17
  5. Step 5: Solve for x
    x = 5,065,571.17/3,719.16
  6. Step 6: Final answer
    x = 1,362.02

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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.