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Finding the Fourth Proportional to 5,617.24, 7,758.66 and 3,854.68

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Solution

The fourth proportional to 5,617.24, 7,758.66 and 3,854.68 is: 5,324.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617.24 : 7,758.66 = 3,854.68 : x
  2. Step 2: Convert to fraction form
    5,617.24/7,758.66 = 3,854.68/x
  3. Step 3: Cross multiply
    5,617.24x = 7,758.66 × 3,854.68
  4. Step 4: Simplify right side
    5,617.24x = 29,907,151.53
  5. Step 5: Solve for x
    x = 29,907,151.53/5,617.24
  6. Step 6: Final answer
    x = 5,324.17

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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.