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Finding the Fourth Proportional to 5,265.71, 7,264.11 and 3,847.03

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Solution

The fourth proportional to 5,265.71, 7,264.11 and 3,847.03 is: 5,307.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.71 : 7,264.11 = 3,847.03 : x
  2. Step 2: Convert to fraction form
    5,265.71/7,264.11 = 3,847.03/x
  3. Step 3: Cross multiply
    5,265.71x = 7,264.11 × 3,847.03
  4. Step 4: Simplify right side
    5,265.71x = 27,945,245.36
  5. Step 5: Solve for x
    x = 27,945,245.36/5,265.71
  6. Step 6: Final answer
    x = 5,307.02

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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.