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Finding the Fourth Proportional to 3,903.32, 5,856.33 and 2,261.30

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Solution

The fourth proportional to 3,903.32, 5,856.33 and 2,261.30 is: 3,392.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.32 : 5,856.33 = 2,261.30 : x
  2. Step 2: Convert to fraction form
    3,903.32/5,856.33 = 2,261.30/x
  3. Step 3: Cross multiply
    3,903.32x = 5,856.33 × 2,261.30
  4. Step 4: Simplify right side
    3,903.32x = 13,242,919.03
  5. Step 5: Solve for x
    x = 13,242,919.03/3,903.32
  6. Step 6: Final answer
    x = 3,392.73

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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.