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Finding the Fourth Proportional to 7,241.67, 10,858.86 and 3,538.35

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Solution

The fourth proportional to 7,241.67, 10,858.86 and 3,538.35 is: 5,305.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.67 : 10,858.86 = 3,538.35 : x
  2. Step 2: Convert to fraction form
    7,241.67/10,858.86 = 3,538.35/x
  3. Step 3: Cross multiply
    7,241.67x = 10,858.86 × 3,538.35
  4. Step 4: Simplify right side
    7,241.67x = 38,422,447.28
  5. Step 5: Solve for x
    x = 38,422,447.28/7,241.67
  6. Step 6: Final answer
    x = 5,305.74

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