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Finding the Fourth Proportional to 5,887.43, 8,832.81 and 1,992.14

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Solution

The fourth proportional to 5,887.43, 8,832.81 and 1,992.14 is: 2,988.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,887.43 : 8,832.81 = 1,992.14 : x
  2. Step 2: Convert to fraction form
    5,887.43/8,832.81 = 1,992.14/x
  3. Step 3: Cross multiply
    5,887.43x = 8,832.81 × 1,992.14
  4. Step 4: Simplify right side
    5,887.43x = 17,596,194.11
  5. Step 5: Solve for x
    x = 17,596,194.11/5,887.43
  6. Step 6: Final answer
    x = 2,988.77

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1.5x scale

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.