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Finding the Fourth Proportional to 5,649.06, 7,797.30 and 3,970.86

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Solution

The fourth proportional to 5,649.06, 7,797.30 and 3,970.86 is: 5,480.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.06 : 7,797.30 = 3,970.86 : x
  2. Step 2: Convert to fraction form
    5,649.06/7,797.30 = 3,970.86/x
  3. Step 3: Cross multiply
    5,649.06x = 7,797.30 × 3,970.86
  4. Step 4: Simplify right side
    5,649.06x = 30,961,986.68
  5. Step 5: Solve for x
    x = 30,961,986.68/5,649.06
  6. Step 6: Final answer
    x = 5,480.91

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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.