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Finding the Fourth Proportional to 5,531.96, 7,632.82 and 4,040.68

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Solution

The fourth proportional to 5,531.96, 7,632.82 and 4,040.68 is: 5,575.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,531.96 : 7,632.82 = 4,040.68 : x
  2. Step 2: Convert to fraction form
    5,531.96/7,632.82 = 4,040.68/x
  3. Step 3: Cross multiply
    5,531.96x = 7,632.82 × 4,040.68
  4. Step 4: Simplify right side
    5,531.96x = 30,841,783.12
  5. Step 5: Solve for x
    x = 30,841,783.12/5,531.96
  6. Step 6: Final answer
    x = 5,575.20

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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.