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Finding the Fourth Proportional to 3,835.68, 5,292.24 and 2,263.20

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Solution

The fourth proportional to 3,835.68, 5,292.24 and 2,263.20 is: 3,122.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.68 : 5,292.24 = 2,263.20 : x
  2. Step 2: Convert to fraction form
    3,835.68/5,292.24 = 2,263.20/x
  3. Step 3: Cross multiply
    3,835.68x = 5,292.24 × 2,263.20
  4. Step 4: Simplify right side
    3,835.68x = 11,977,397.57
  5. Step 5: Solve for x
    x = 11,977,397.57/3,835.68
  6. Step 6: Final answer
    x = 3,122.63

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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.