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Finding the Fourth Proportional to 5,206.44, 7,808.82 and 2,433

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Solution

The fourth proportional to 5,206.44, 7,808.82 and 2,433 is: 3,649.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.44 : 7,808.82 = 2,433 : x
  2. Step 2: Convert to fraction form
    5,206.44/7,808.82 = 2,433/x
  3. Step 3: Cross multiply
    5,206.44x = 7,808.82 × 2,433
  4. Step 4: Simplify right side
    5,206.44x = 18,998,859.06
  5. Step 5: Solve for x
    x = 18,998,859.06/5,206.44
  6. Step 6: Final answer
    x = 3,649.11

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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.