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Finding the Fourth Proportional to 3,797.52, 5,238.47 and 2,225.31

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Solution

The fourth proportional to 3,797.52, 5,238.47 and 2,225.31 is: 3,069.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.52 : 5,238.47 = 2,225.31 : x
  2. Step 2: Convert to fraction form
    3,797.52/5,238.47 = 2,225.31/x
  3. Step 3: Cross multiply
    3,797.52x = 5,238.47 × 2,225.31
  4. Step 4: Simplify right side
    3,797.52x = 11,657,208.55
  5. Step 5: Solve for x
    x = 11,657,208.55/3,797.52
  6. Step 6: Final answer
    x = 3,069.69

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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.