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Finding the Fourth Proportional to 3,904.68, 5,847.06 and 2,256.18

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Solution

The fourth proportional to 3,904.68, 5,847.06 and 2,256.18 is: 3,378.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.68 : 5,847.06 = 2,256.18 : x
  2. Step 2: Convert to fraction form
    3,904.68/5,847.06 = 2,256.18/x
  3. Step 3: Cross multiply
    3,904.68x = 5,847.06 × 2,256.18
  4. Step 4: Simplify right side
    3,904.68x = 13,192,019.83
  5. Step 5: Solve for x
    x = 13,192,019.83/3,904.68
  6. Step 6: Final answer
    x = 3,378.51

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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.