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Finding the Fourth Proportional to 4,842, 6,682.14 and 2,746.08

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Solution

The fourth proportional to 4,842, 6,682.14 and 2,746.08 is: 3,789.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842 : 6,682.14 = 2,746.08 : x
  2. Step 2: Convert to fraction form
    4,842/6,682.14 = 2,746.08/x
  3. Step 3: Cross multiply
    4,842x = 6,682.14 × 2,746.08
  4. Step 4: Simplify right side
    4,842x = 18,349,691.01
  5. Step 5: Solve for x
    x = 18,349,691.01/4,842
  6. Step 6: Final answer
    x = 3,789.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.