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Finding the Fourth Proportional to 3,052.63, 4,212.69 and 1,857.20

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Solution

The fourth proportional to 3,052.63, 4,212.69 and 1,857.20 is: 2,562.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.63 : 4,212.69 = 1,857.20 : x
  2. Step 2: Convert to fraction form
    3,052.63/4,212.69 = 1,857.20/x
  3. Step 3: Cross multiply
    3,052.63x = 4,212.69 × 1,857.20
  4. Step 4: Simplify right side
    3,052.63x = 7,823,807.87
  5. Step 5: Solve for x
    x = 7,823,807.87/3,052.63
  6. Step 6: Final answer
    x = 2,562.97

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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.