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Finding the Fourth Proportional to 5,543.68, 7,649.22 and 3,185.92

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Solution

The fourth proportional to 5,543.68, 7,649.22 and 3,185.92 is: 4,395.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,543.68 : 7,649.22 = 3,185.92 : x
  2. Step 2: Convert to fraction form
    5,543.68/7,649.22 = 3,185.92/x
  3. Step 3: Cross multiply
    5,543.68x = 7,649.22 × 3,185.92
  4. Step 4: Simplify right side
    5,543.68x = 24,369,802.98
  5. Step 5: Solve for x
    x = 24,369,802.98/5,543.68
  6. Step 6: Final answer
    x = 4,395.96

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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.