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Finding the Fourth Proportional to 4,146.69, 5,722.48 and 2,258.28

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Solution

The fourth proportional to 4,146.69, 5,722.48 and 2,258.28 is: 3,116.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.69 : 5,722.48 = 2,258.28 : x
  2. Step 2: Convert to fraction form
    4,146.69/5,722.48 = 2,258.28/x
  3. Step 3: Cross multiply
    4,146.69x = 5,722.48 × 2,258.28
  4. Step 4: Simplify right side
    4,146.69x = 12,922,964.96
  5. Step 5: Solve for x
    x = 12,922,964.96/4,146.69
  6. Step 6: Final answer
    x = 3,116.45

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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.