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Finding the Fourth Proportional to 3,543.84, 5,314.82 and 1,463.22

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Solution

The fourth proportional to 3,543.84, 5,314.82 and 1,463.22 is: 2,194.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.84 : 5,314.82 = 1,463.22 : x
  2. Step 2: Convert to fraction form
    3,543.84/5,314.82 = 1,463.22/x
  3. Step 3: Cross multiply
    3,543.84x = 5,314.82 × 1,463.22
  4. Step 4: Simplify right side
    3,543.84x = 7,776,743.60
  5. Step 5: Solve for x
    x = 7,776,743.60/3,543.84
  6. Step 6: Final answer
    x = 2,194.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.