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Finding the Fourth Proportional to 4,146.99, 5,722.70 and 2,258.54

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Solution

The fourth proportional to 4,146.99, 5,722.70 and 2,258.54 is: 3,116.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.99 : 5,722.70 = 2,258.54 : x
  2. Step 2: Convert to fraction form
    4,146.99/5,722.70 = 2,258.54/x
  3. Step 3: Cross multiply
    4,146.99x = 5,722.70 × 2,258.54
  4. Step 4: Simplify right side
    4,146.99x = 12,924,946.86
  5. Step 5: Solve for x
    x = 12,924,946.86/4,146.99
  6. Step 6: Final answer
    x = 3,116.71

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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.