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Finding the Fourth Proportional to 5,863.22, 8,800.76 and 5,200.47

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Solution

The fourth proportional to 5,863.22, 8,800.76 and 5,200.47 is: 7,805.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863.22 : 8,800.76 = 5,200.47 : x
  2. Step 2: Convert to fraction form
    5,863.22/8,800.76 = 5,200.47/x
  3. Step 3: Cross multiply
    5,863.22x = 8,800.76 × 5,200.47
  4. Step 4: Simplify right side
    5,863.22x = 45,768,071.54
  5. Step 5: Solve for x
    x = 45,768,071.54/5,863.22
  6. Step 6: Final answer
    x = 7,805.96

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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.