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Finding the Fourth Proportional to 4,967.97, 6,855.80 and 2,730

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Solution

The fourth proportional to 4,967.97, 6,855.80 and 2,730 is: 3,767.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.97 : 6,855.80 = 2,730 : x
  2. Step 2: Convert to fraction form
    4,967.97/6,855.80 = 2,730/x
  3. Step 3: Cross multiply
    4,967.97x = 6,855.80 × 2,730
  4. Step 4: Simplify right side
    4,967.97x = 18,716,334
  5. Step 5: Solve for x
    x = 18,716,334/4,967.97
  6. Step 6: Final answer
    x = 3,767.40

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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.