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Finding the Fourth Proportional to 3,674.22, 5,069.88 and 2,258.16

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Solution

The fourth proportional to 3,674.22, 5,069.88 and 2,258.16 is: 3,115.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.22 : 5,069.88 = 2,258.16 : x
  2. Step 2: Convert to fraction form
    3,674.22/5,069.88 = 2,258.16/x
  3. Step 3: Cross multiply
    3,674.22x = 5,069.88 × 2,258.16
  4. Step 4: Simplify right side
    3,674.22x = 11,448,600.22
  5. Step 5: Solve for x
    x = 11,448,600.22/3,674.22
  6. Step 6: Final answer
    x = 3,115.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.