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Finding the Fourth Proportional to 3,502.20, 5,253.30 and 1,857.90

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Solution

The fourth proportional to 3,502.20, 5,253.30 and 1,857.90 is: 2,786.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.20 : 5,253.30 = 1,857.90 : x
  2. Step 2: Convert to fraction form
    3,502.20/5,253.30 = 1,857.90/x
  3. Step 3: Cross multiply
    3,502.20x = 5,253.30 × 1,857.90
  4. Step 4: Simplify right side
    3,502.20x = 9,760,106.07
  5. Step 5: Solve for x
    x = 9,760,106.07/3,502.20
  6. Step 6: Final answer
    x = 2,786.85

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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.