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Finding the Fourth Proportional to 7,241.32, 10,858.28 and 3,538

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Solution

The fourth proportional to 7,241.32, 10,858.28 and 3,538 is: 5,305.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.32 : 10,858.28 = 3,538 : x
  2. Step 2: Convert to fraction form
    7,241.32/10,858.28 = 3,538/x
  3. Step 3: Cross multiply
    7,241.32x = 10,858.28 × 3,538
  4. Step 4: Simplify right side
    7,241.32x = 38,416,594.64
  5. Step 5: Solve for x
    x = 38,416,594.64/7,241.32
  6. Step 6: Final answer
    x = 5,305.19

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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.