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Finding the Fourth Proportional to 4,726.78, 7,082.98 and 2,258.20

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Solution

The fourth proportional to 4,726.78, 7,082.98 and 2,258.20 is: 3,383.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,726.78 : 7,082.98 = 2,258.20 : x
  2. Step 2: Convert to fraction form
    4,726.78/7,082.98 = 2,258.20/x
  3. Step 3: Cross multiply
    4,726.78x = 7,082.98 × 2,258.20
  4. Step 4: Simplify right side
    4,726.78x = 15,994,785.44
  5. Step 5: Solve for x
    x = 15,994,785.44/4,726.78
  6. Step 6: Final answer
    x = 3,383.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.