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Finding the Fourth Proportional to 5,354.92, 8,032.22 and 5,209

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Solution

The fourth proportional to 5,354.92, 8,032.22 and 5,209 is: 7,813.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354.92 : 8,032.22 = 5,209 : x
  2. Step 2: Convert to fraction form
    5,354.92/8,032.22 = 5,209/x
  3. Step 3: Cross multiply
    5,354.92x = 8,032.22 × 5,209
  4. Step 4: Simplify right side
    5,354.92x = 41,839,833.98
  5. Step 5: Solve for x
    x = 41,839,833.98/5,354.92
  6. Step 6: Final answer
    x = 7,813.34

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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.