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Finding the Fourth Proportional to 5,258.36, 7,885.10 and 3,067.72

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Solution

The fourth proportional to 5,258.36, 7,885.10 and 3,067.72 is: 4,600.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.36 : 7,885.10 = 3,067.72 : x
  2. Step 2: Convert to fraction form
    5,258.36/7,885.10 = 3,067.72/x
  3. Step 3: Cross multiply
    5,258.36x = 7,885.10 × 3,067.72
  4. Step 4: Simplify right side
    5,258.36x = 24,189,278.97
  5. Step 5: Solve for x
    x = 24,189,278.97/5,258.36
  6. Step 6: Final answer
    x = 4,600.16

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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.