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Finding the Fourth Proportional to 5,649.93, 7,797.20 and 3,664.35

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Solution

The fourth proportional to 5,649.93, 7,797.20 and 3,664.35 is: 5,056.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.93 : 7,797.20 = 3,664.35 : x
  2. Step 2: Convert to fraction form
    5,649.93/7,797.20 = 3,664.35/x
  3. Step 3: Cross multiply
    5,649.93x = 7,797.20 × 3,664.35
  4. Step 4: Simplify right side
    5,649.93x = 28,571,651.50
  5. Step 5: Solve for x
    x = 28,571,651.50/5,649.93
  6. Step 6: Final answer
    x = 5,056.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.