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Finding the Fourth Proportional to 5,275.81, 7,916.47 and 3,826.92

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Solution

The fourth proportional to 5,275.81, 7,916.47 and 3,826.92 is: 5,742.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,275.81 : 7,916.47 = 3,826.92 : x
  2. Step 2: Convert to fraction form
    5,275.81/7,916.47 = 3,826.92/x
  3. Step 3: Cross multiply
    5,275.81x = 7,916.47 × 3,826.92
  4. Step 4: Simplify right side
    5,275.81x = 30,295,717.49
  5. Step 5: Solve for x
    x = 30,295,717.49/5,275.81
  6. Step 6: Final answer
    x = 5,742.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.