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Finding the Fourth Proportional to 5,992.84, 8,266.74 and 3,781

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Solution

The fourth proportional to 5,992.84, 8,266.74 and 3,781 is: 5,215.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,992.84 : 8,266.74 = 3,781 : x
  2. Step 2: Convert to fraction form
    5,992.84/8,266.74 = 3,781/x
  3. Step 3: Cross multiply
    5,992.84x = 8,266.74 × 3,781
  4. Step 4: Simplify right side
    5,992.84x = 31,256,543.94
  5. Step 5: Solve for x
    x = 31,256,543.94/5,992.84
  6. Step 6: Final answer
    x = 5,215.65

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1.5x scale

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.