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Finding the Fourth Proportional to 5,407.98, 8,110.34 and 2,809.50

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Solution

The fourth proportional to 5,407.98, 8,110.34 and 2,809.50 is: 4,213.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.98 : 8,110.34 = 2,809.50 : x
  2. Step 2: Convert to fraction form
    5,407.98/8,110.34 = 2,809.50/x
  3. Step 3: Cross multiply
    5,407.98x = 8,110.34 × 2,809.50
  4. Step 4: Simplify right side
    5,407.98x = 22,786,000.23
  5. Step 5: Solve for x
    x = 22,786,000.23/5,407.98
  6. Step 6: Final answer
    x = 4,213.40

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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.