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Finding the Fourth Proportional to 5,147.64, 7,097.25 and 4,202.46

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Solution

The fourth proportional to 5,147.64, 7,097.25 and 4,202.46 is: 5,794.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.64 : 7,097.25 = 4,202.46 : x
  2. Step 2: Convert to fraction form
    5,147.64/7,097.25 = 4,202.46/x
  3. Step 3: Cross multiply
    5,147.64x = 7,097.25 × 4,202.46
  4. Step 4: Simplify right side
    5,147.64x = 29,825,909.24
  5. Step 5: Solve for x
    x = 29,825,909.24/5,147.64
  6. Step 6: Final answer
    x = 5,794.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.