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Finding the Fourth Proportional to 3,498.12, 5,245.93 and 1,157.70

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Solution

The fourth proportional to 3,498.12, 5,245.93 and 1,157.70 is: 1,736.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.12 : 5,245.93 = 1,157.70 : x
  2. Step 2: Convert to fraction form
    3,498.12/5,245.93 = 1,157.70/x
  3. Step 3: Cross multiply
    3,498.12x = 5,245.93 × 1,157.70
  4. Step 4: Simplify right side
    3,498.12x = 6,073,181.14
  5. Step 5: Solve for x
    x = 6,073,181.14/3,498.12
  6. Step 6: Final answer
    x = 1,736.13

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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.