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Finding the Fourth Proportional to 3,057.12, 4,218.12 and 2,064.24

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Solution

The fourth proportional to 3,057.12, 4,218.12 and 2,064.24 is: 2,848.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.12 : 4,218.12 = 2,064.24 : x
  2. Step 2: Convert to fraction form
    3,057.12/4,218.12 = 2,064.24/x
  3. Step 3: Cross multiply
    3,057.12x = 4,218.12 × 2,064.24
  4. Step 4: Simplify right side
    3,057.12x = 8,707,212.03
  5. Step 5: Solve for x
    x = 8,707,212.03/3,057.12
  6. Step 6: Final answer
    x = 2,848.17

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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.