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Finding the Fourth Proportional to 3,795.12, 5,697 and 2,259.36

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Solution

The fourth proportional to 3,795.12, 5,697 and 2,259.36 is: 3,391.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.12 : 5,697 = 2,259.36 : x
  2. Step 2: Convert to fraction form
    3,795.12/5,697 = 2,259.36/x
  3. Step 3: Cross multiply
    3,795.12x = 5,697 × 2,259.36
  4. Step 4: Simplify right side
    3,795.12x = 12,871,573.92
  5. Step 5: Solve for x
    x = 12,871,573.92/3,795.12
  6. Step 6: Final answer
    x = 3,391.61

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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.