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Finding the Fourth Proportional to 5,713.36, 7,885.41 and 3,324.71

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Solution

The fourth proportional to 5,713.36, 7,885.41 and 3,324.71 is: 4,588.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.36 : 7,885.41 = 3,324.71 : x
  2. Step 2: Convert to fraction form
    5,713.36/7,885.41 = 3,324.71/x
  3. Step 3: Cross multiply
    5,713.36x = 7,885.41 × 3,324.71
  4. Step 4: Simplify right side
    5,713.36x = 26,216,701.48
  5. Step 5: Solve for x
    x = 26,216,701.48/5,713.36
  6. Step 6: Final answer
    x = 4,588.67

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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.