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Finding the Fourth Proportional to 5,542.72, 7,649.69 and 3,526.33

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Solution

The fourth proportional to 5,542.72, 7,649.69 and 3,526.33 is: 4,866.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.72 : 7,649.69 = 3,526.33 : x
  2. Step 2: Convert to fraction form
    5,542.72/7,649.69 = 3,526.33/x
  3. Step 3: Cross multiply
    5,542.72x = 7,649.69 × 3,526.33
  4. Step 4: Simplify right side
    5,542.72x = 26,975,331.34
  5. Step 5: Solve for x
    x = 26,975,331.34/5,542.72
  6. Step 6: Final answer
    x = 4,866.80

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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.