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Finding the Fourth Proportional to 4,842.15, 6,682.85 and 2,826.23

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Solution

The fourth proportional to 4,842.15, 6,682.85 and 2,826.23 is: 3,900.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.15 : 6,682.85 = 2,826.23 : x
  2. Step 2: Convert to fraction form
    4,842.15/6,682.85 = 2,826.23/x
  3. Step 3: Cross multiply
    4,842.15x = 6,682.85 × 2,826.23
  4. Step 4: Simplify right side
    4,842.15x = 18,887,261.51
  5. Step 5: Solve for x
    x = 18,887,261.51/4,842.15
  6. Step 6: Final answer
    x = 3,900.59

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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.