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Finding the Fourth Proportional to 3,858.46, 5,785.41 and 1,225.25

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Solution

The fourth proportional to 3,858.46, 5,785.41 and 1,225.25 is: 1,837.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.46 : 5,785.41 = 1,225.25 : x
  2. Step 2: Convert to fraction form
    3,858.46/5,785.41 = 1,225.25/x
  3. Step 3: Cross multiply
    3,858.46x = 5,785.41 × 1,225.25
  4. Step 4: Simplify right side
    3,858.46x = 7,088,573.60
  5. Step 5: Solve for x
    x = 7,088,573.60/3,858.46
  6. Step 6: Final answer
    x = 1,837.15

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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.