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Finding the Fourth Proportional to 3,782.88, 5,639.52 and 3,695.52

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Solution

The fourth proportional to 3,782.88, 5,639.52 and 3,695.52 is: 5,509.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.88 : 5,639.52 = 3,695.52 : x
  2. Step 2: Convert to fraction form
    3,782.88/5,639.52 = 3,695.52/x
  3. Step 3: Cross multiply
    3,782.88x = 5,639.52 × 3,695.52
  4. Step 4: Simplify right side
    3,782.88x = 20,840,958.95
  5. Step 5: Solve for x
    x = 20,840,958.95/3,782.88
  6. Step 6: Final answer
    x = 5,509.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.