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Finding the Fourth Proportional to 5,543.09, 7,642.65 and 3,443.57

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Solution

The fourth proportional to 5,543.09, 7,642.65 and 3,443.57 is: 4,747.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,543.09 : 7,642.65 = 3,443.57 : x
  2. Step 2: Convert to fraction form
    5,543.09/7,642.65 = 3,443.57/x
  3. Step 3: Cross multiply
    5,543.09x = 7,642.65 × 3,443.57
  4. Step 4: Simplify right side
    5,543.09x = 26,317,962.05
  5. Step 5: Solve for x
    x = 26,317,962.05/5,543.09
  6. Step 6: Final answer
    x = 4,747.89

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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.