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Finding the Fourth Proportional to 5,760.24, 7,950.32 and 3,746.17

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Solution

The fourth proportional to 5,760.24, 7,950.32 and 3,746.17 is: 5,170.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.24 : 7,950.32 = 3,746.17 : x
  2. Step 2: Convert to fraction form
    5,760.24/7,950.32 = 3,746.17/x
  3. Step 3: Cross multiply
    5,760.24x = 7,950.32 × 3,746.17
  4. Step 4: Simplify right side
    5,760.24x = 29,783,231.54
  5. Step 5: Solve for x
    x = 29,783,231.54/5,760.24
  6. Step 6: Final answer
    x = 5,170.49

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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.