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Finding the Fourth Proportional to 5,649.86, 7,797.27 and 3,132.76

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Solution

The fourth proportional to 5,649.86, 7,797.27 and 3,132.76 is: 4,323.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.86 : 7,797.27 = 3,132.76 : x
  2. Step 2: Convert to fraction form
    5,649.86/7,797.27 = 3,132.76/x
  3. Step 3: Cross multiply
    5,649.86x = 7,797.27 × 3,132.76
  4. Step 4: Simplify right side
    5,649.86x = 24,426,975.57
  5. Step 5: Solve for x
    x = 24,426,975.57/5,649.86
  6. Step 6: Final answer
    x = 4,323.47

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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.