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Finding the Fourth Proportional to 3,900.72, 5,862.24 and 3,755.28

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Solution

The fourth proportional to 3,900.72, 5,862.24 and 3,755.28 is: 5,643.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.72 : 5,862.24 = 3,755.28 : x
  2. Step 2: Convert to fraction form
    3,900.72/5,862.24 = 3,755.28/x
  3. Step 3: Cross multiply
    3,900.72x = 5,862.24 × 3,755.28
  4. Step 4: Simplify right side
    3,900.72x = 22,014,352.63
  5. Step 5: Solve for x
    x = 22,014,352.63/3,900.72
  6. Step 6: Final answer
    x = 5,643.66

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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.