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Finding the Fourth Proportional to 5,649.77, 7,795.71 and 3,259.21

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Solution

The fourth proportional to 5,649.77, 7,795.71 and 3,259.21 is: 4,497.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.77 : 7,795.71 = 3,259.21 : x
  2. Step 2: Convert to fraction form
    5,649.77/7,795.71 = 3,259.21/x
  3. Step 3: Cross multiply
    5,649.77x = 7,795.71 × 3,259.21
  4. Step 4: Simplify right side
    5,649.77x = 25,407,855.99
  5. Step 5: Solve for x
    x = 25,407,855.99/5,649.77
  6. Step 6: Final answer
    x = 4,497.15

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1.5x scale

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.