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Finding the Fourth Proportional to 5,932.51, 8,186.76 and 4,234.14

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Solution

The fourth proportional to 5,932.51, 8,186.76 and 4,234.14 is: 5,843.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,932.51 : 8,186.76 = 4,234.14 : x
  2. Step 2: Convert to fraction form
    5,932.51/8,186.76 = 4,234.14/x
  3. Step 3: Cross multiply
    5,932.51x = 8,186.76 × 4,234.14
  4. Step 4: Simplify right side
    5,932.51x = 34,663,887.99
  5. Step 5: Solve for x
    x = 34,663,887.99/5,932.51
  6. Step 6: Final answer
    x = 5,843.04

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Double scale
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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.