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Finding the Fourth Proportional to 4,841.92, 6,681.72 and 2,746

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Solution

The fourth proportional to 4,841.92, 6,681.72 and 2,746 is: 3,789.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,841.92 : 6,681.72 = 2,746 : x
  2. Step 2: Convert to fraction form
    4,841.92/6,681.72 = 2,746/x
  3. Step 3: Cross multiply
    4,841.92x = 6,681.72 × 2,746
  4. Step 4: Simplify right side
    4,841.92x = 18,348,003.12
  5. Step 5: Solve for x
    x = 18,348,003.12/4,841.92
  6. Step 6: Final answer
    x = 3,789.41

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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.