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Finding the Fourth Proportional to 5,325.72, 7,971.16 and 3,919.76

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Solution

The fourth proportional to 5,325.72, 7,971.16 and 3,919.76 is: 5,866.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,325.72 : 7,971.16 = 3,919.76 : x
  2. Step 2: Convert to fraction form
    5,325.72/7,971.16 = 3,919.76/x
  3. Step 3: Cross multiply
    5,325.72x = 7,971.16 × 3,919.76
  4. Step 4: Simplify right side
    5,325.72x = 31,245,034.12
  5. Step 5: Solve for x
    x = 31,245,034.12/5,325.72
  6. Step 6: Final answer
    x = 5,866.82

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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.