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Finding the Fourth Proportional to 3,803.24, 5,700.14 and 2,154.78

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Solution

The fourth proportional to 3,803.24, 5,700.14 and 2,154.78 is: 3,229.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.24 : 5,700.14 = 2,154.78 : x
  2. Step 2: Convert to fraction form
    3,803.24/5,700.14 = 2,154.78/x
  3. Step 3: Cross multiply
    3,803.24x = 5,700.14 × 2,154.78
  4. Step 4: Simplify right side
    3,803.24x = 12,282,574.43
  5. Step 5: Solve for x
    x = 12,282,574.43/3,803.24
  6. Step 6: Final answer
    x = 3,229.51

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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.