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Finding the Fourth Proportional to 5,916.90, 8,163.84 and 3,818.50

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Solution

The fourth proportional to 5,916.90, 8,163.84 and 3,818.50 is: 5,268.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,916.90 : 8,163.84 = 3,818.50 : x
  2. Step 2: Convert to fraction form
    5,916.90/8,163.84 = 3,818.50/x
  3. Step 3: Cross multiply
    5,916.90x = 8,163.84 × 3,818.50
  4. Step 4: Simplify right side
    5,916.90x = 31,173,623.04
  5. Step 5: Solve for x
    x = 31,173,623.04/5,916.90
  6. Step 6: Final answer
    x = 5,268.57

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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.