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Finding the Fourth Proportional to 5,809.47, 8,713.99 and 1,649.46

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Solution

The fourth proportional to 5,809.47, 8,713.99 and 1,649.46 is: 2,474.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.47 : 8,713.99 = 1,649.46 : x
  2. Step 2: Convert to fraction form
    5,809.47/8,713.99 = 1,649.46/x
  3. Step 3: Cross multiply
    5,809.47x = 8,713.99 × 1,649.46
  4. Step 4: Simplify right side
    5,809.47x = 14,373,377.95
  5. Step 5: Solve for x
    x = 14,373,377.95/5,809.47
  6. Step 6: Final answer
    x = 2,474.13

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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.