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Finding the Fourth Proportional to 5,206.82, 7,806.98 and 2,432.30

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Solution

The fourth proportional to 5,206.82, 7,806.98 and 2,432.30 is: 3,646.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.82 : 7,806.98 = 2,432.30 : x
  2. Step 2: Convert to fraction form
    5,206.82/7,806.98 = 2,432.30/x
  3. Step 3: Cross multiply
    5,206.82x = 7,806.98 × 2,432.30
  4. Step 4: Simplify right side
    5,206.82x = 18,988,884.50
  5. Step 5: Solve for x
    x = 18,988,884.50/5,206.82
  6. Step 6: Final answer
    x = 3,646.93

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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.