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Finding the Fourth Proportional to 3,800.20, 5,700.36 and 1,461.28

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Solution

The fourth proportional to 3,800.20, 5,700.36 and 1,461.28 is: 2,191.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.20 : 5,700.36 = 1,461.28 : x
  2. Step 2: Convert to fraction form
    3,800.20/5,700.36 = 1,461.28/x
  3. Step 3: Cross multiply
    3,800.20x = 5,700.36 × 1,461.28
  4. Step 4: Simplify right side
    3,800.20x = 8,329,822.06
  5. Step 5: Solve for x
    x = 8,329,822.06/3,800.20
  6. Step 6: Final answer
    x = 2,191.94

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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.