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Finding the Fourth Proportional to 4,842.66, 6,682.66 and 2,689.08

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Solution

The fourth proportional to 4,842.66, 6,682.66 and 2,689.08 is: 3,710.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.66 : 6,682.66 = 2,689.08 : x
  2. Step 2: Convert to fraction form
    4,842.66/6,682.66 = 2,689.08/x
  3. Step 3: Cross multiply
    4,842.66x = 6,682.66 × 2,689.08
  4. Step 4: Simplify right side
    4,842.66x = 17,970,207.35
  5. Step 5: Solve for x
    x = 17,970,207.35/4,842.66
  6. Step 6: Final answer
    x = 3,710.81

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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.