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Finding the Fourth Proportional to 4,143.71, 5,717.64 and 2,374.97

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Solution

The fourth proportional to 4,143.71, 5,717.64 and 2,374.97 is: 3,277.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143.71 : 5,717.64 = 2,374.97 : x
  2. Step 2: Convert to fraction form
    4,143.71/5,717.64 = 2,374.97/x
  3. Step 3: Cross multiply
    4,143.71x = 5,717.64 × 2,374.97
  4. Step 4: Simplify right side
    4,143.71x = 13,579,222.59
  5. Step 5: Solve for x
    x = 13,579,222.59/4,143.71
  6. Step 6: Final answer
    x = 3,277.07

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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.