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Finding the Fourth Proportional to 5,806.24, 8,713.17 and 3,464.50

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Solution

The fourth proportional to 5,806.24, 8,713.17 and 3,464.50 is: 5,199.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.24 : 8,713.17 = 3,464.50 : x
  2. Step 2: Convert to fraction form
    5,806.24/8,713.17 = 3,464.50/x
  3. Step 3: Cross multiply
    5,806.24x = 8,713.17 × 3,464.50
  4. Step 4: Simplify right side
    5,806.24x = 30,186,777.47
  5. Step 5: Solve for x
    x = 30,186,777.47/5,806.24
  6. Step 6: Final answer
    x = 5,199.02

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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.