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Finding the Fourth Proportional to 5,746.48, 7,933.17 and 3,867.94

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Solution

The fourth proportional to 5,746.48, 7,933.17 and 3,867.94 is: 5,339.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.48 : 7,933.17 = 3,867.94 : x
  2. Step 2: Convert to fraction form
    5,746.48/7,933.17 = 3,867.94/x
  3. Step 3: Cross multiply
    5,746.48x = 7,933.17 × 3,867.94
  4. Step 4: Simplify right side
    5,746.48x = 30,685,025.57
  5. Step 5: Solve for x
    x = 30,685,025.57/5,746.48
  6. Step 6: Final answer
    x = 5,339.80

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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.