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Finding the Fourth Proportional to 3,723.60, 5,143.44 and 3,018.06

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Solution

The fourth proportional to 3,723.60, 5,143.44 and 3,018.06 is: 4,168.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723.60 : 5,143.44 = 3,018.06 : x
  2. Step 2: Convert to fraction form
    3,723.60/5,143.44 = 3,018.06/x
  3. Step 3: Cross multiply
    3,723.60x = 5,143.44 × 3,018.06
  4. Step 4: Simplify right side
    3,723.60x = 15,523,210.53
  5. Step 5: Solve for x
    x = 15,523,210.53/3,723.60
  6. Step 6: Final answer
    x = 4,168.87

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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.