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Finding the Fourth Proportional to 3,797.07, 5,688.32 and 2,233.77

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Solution

The fourth proportional to 3,797.07, 5,688.32 and 2,233.77 is: 3,346.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.07 : 5,688.32 = 2,233.77 : x
  2. Step 2: Convert to fraction form
    3,797.07/5,688.32 = 2,233.77/x
  3. Step 3: Cross multiply
    3,797.07x = 5,688.32 × 2,233.77
  4. Step 4: Simplify right side
    3,797.07x = 12,706,387.40
  5. Step 5: Solve for x
    x = 12,706,387.40/3,797.07
  6. Step 6: Final answer
    x = 3,346.37

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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.