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Finding the Fourth Proportional to 3,057.37, 4,592.19 and 2,971.24

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Solution

The fourth proportional to 3,057.37, 4,592.19 and 2,971.24 is: 4,462.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.37 : 4,592.19 = 2,971.24 : x
  2. Step 2: Convert to fraction form
    3,057.37/4,592.19 = 2,971.24/x
  3. Step 3: Cross multiply
    3,057.37x = 4,592.19 × 2,971.24
  4. Step 4: Simplify right side
    3,057.37x = 13,644,498.62
  5. Step 5: Solve for x
    x = 13,644,498.62/3,057.37
  6. Step 6: Final answer
    x = 4,462.82

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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.