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Finding the Fourth Proportional to 5,805.92, 8,709.28 and 2,343.12

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Solution

The fourth proportional to 5,805.92, 8,709.28 and 2,343.12 is: 3,514.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.92 : 8,709.28 = 2,343.12 : x
  2. Step 2: Convert to fraction form
    5,805.92/8,709.28 = 2,343.12/x
  3. Step 3: Cross multiply
    5,805.92x = 8,709.28 × 2,343.12
  4. Step 4: Simplify right side
    5,805.92x = 20,406,888.15
  5. Step 5: Solve for x
    x = 20,406,888.15/5,805.92
  6. Step 6: Final answer
    x = 3,514.84

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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.