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Finding the Fourth Proportional to 3,097.70, 4,647.34 and 1,538.44

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Solution

The fourth proportional to 3,097.70, 4,647.34 and 1,538.44 is: 2,308.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.70 : 4,647.34 = 1,538.44 : x
  2. Step 2: Convert to fraction form
    3,097.70/4,647.34 = 1,538.44/x
  3. Step 3: Cross multiply
    3,097.70x = 4,647.34 × 1,538.44
  4. Step 4: Simplify right side
    3,097.70x = 7,149,653.75
  5. Step 5: Solve for x
    x = 7,149,653.75/3,097.70
  6. Step 6: Final answer
    x = 2,308.05

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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.