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Finding the Fourth Proportional to 4,146.61, 5,722.44 and 2,258.22

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Solution

The fourth proportional to 4,146.61, 5,722.44 and 2,258.22 is: 3,116.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.61 : 5,722.44 = 2,258.22 : x
  2. Step 2: Convert to fraction form
    4,146.61/5,722.44 = 2,258.22/x
  3. Step 3: Cross multiply
    4,146.61x = 5,722.44 × 2,258.22
  4. Step 4: Simplify right side
    4,146.61x = 12,922,528.46
  5. Step 5: Solve for x
    x = 12,922,528.46/4,146.61
  6. Step 6: Final answer
    x = 3,116.41

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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.