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Finding the Fourth Proportional to 5,276.84, 7,918.13 and 1,767.92

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Solution

The fourth proportional to 5,276.84, 7,918.13 and 1,767.92 is: 2,652.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,276.84 : 7,918.13 = 1,767.92 : x
  2. Step 2: Convert to fraction form
    5,276.84/7,918.13 = 1,767.92/x
  3. Step 3: Cross multiply
    5,276.84x = 7,918.13 × 1,767.92
  4. Step 4: Simplify right side
    5,276.84x = 13,998,571.96
  5. Step 5: Solve for x
    x = 13,998,571.96/5,276.84
  6. Step 6: Final answer
    x = 2,652.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.