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Finding the Fourth Proportional to 4,146.68, 5,722.44 and 2,258.30

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Solution

The fourth proportional to 4,146.68, 5,722.44 and 2,258.30 is: 3,116.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.68 : 5,722.44 = 2,258.30 : x
  2. Step 2: Convert to fraction form
    4,146.68/5,722.44 = 2,258.30/x
  3. Step 3: Cross multiply
    4,146.68x = 5,722.44 × 2,258.30
  4. Step 4: Simplify right side
    4,146.68x = 12,922,986.25
  5. Step 5: Solve for x
    x = 12,922,986.25/4,146.68
  6. Step 6: Final answer
    x = 3,116.47

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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.