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Finding the Fourth Proportional to 5,845.71, 8,062.83 and 3,719.13

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Solution

The fourth proportional to 5,845.71, 8,062.83 and 3,719.13 is: 5,129.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,845.71 : 8,062.83 = 3,719.13 : x
  2. Step 2: Convert to fraction form
    5,845.71/8,062.83 = 3,719.13/x
  3. Step 3: Cross multiply
    5,845.71x = 8,062.83 × 3,719.13
  4. Step 4: Simplify right side
    5,845.71x = 29,986,712.94
  5. Step 5: Solve for x
    x = 29,986,712.94/5,845.71
  6. Step 6: Final answer
    x = 5,129.70

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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.