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Finding the Fourth Proportional to 3,641.92, 5,014.56 and 3,019.84

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Solution

The fourth proportional to 3,641.92, 5,014.56 and 3,019.84 is: 4,158.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.92 : 5,014.56 = 3,019.84 : x
  2. Step 2: Convert to fraction form
    3,641.92/5,014.56 = 3,019.84/x
  3. Step 3: Cross multiply
    3,641.92x = 5,014.56 × 3,019.84
  4. Step 4: Simplify right side
    3,641.92x = 15,143,168.87
  5. Step 5: Solve for x
    x = 15,143,168.87/3,641.92
  6. Step 6: Final answer
    x = 4,158.02

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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.