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Finding the Fourth Proportional to 5,543.30, 7,646.84 and 3,443.78

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Solution

The fourth proportional to 5,543.30, 7,646.84 and 3,443.78 is: 4,750.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,543.30 : 7,646.84 = 3,443.78 : x
  2. Step 2: Convert to fraction form
    5,543.30/7,646.84 = 3,443.78/x
  3. Step 3: Cross multiply
    5,543.30x = 7,646.84 × 3,443.78
  4. Step 4: Simplify right side
    5,543.30x = 26,334,049.47
  5. Step 5: Solve for x
    x = 26,334,049.47/5,543.30
  6. Step 6: Final answer
    x = 4,750.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.