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Finding the Fourth Proportional to 3,497.15, 5,245.82 and 1,157.15

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Solution

The fourth proportional to 3,497.15, 5,245.82 and 1,157.15 is: 1,735.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.15 : 5,245.82 = 1,157.15 : x
  2. Step 2: Convert to fraction form
    3,497.15/5,245.82 = 1,157.15/x
  3. Step 3: Cross multiply
    3,497.15x = 5,245.82 × 1,157.15
  4. Step 4: Simplify right side
    3,497.15x = 6,070,200.61
  5. Step 5: Solve for x
    x = 6,070,200.61/3,497.15
  6. Step 6: Final answer
    x = 1,735.76

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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.