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Finding the Fourth Proportional to 5,051.16, 6,974.02 and 3,163.50

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Solution

The fourth proportional to 5,051.16, 6,974.02 and 3,163.50 is: 4,367.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,051.16 : 6,974.02 = 3,163.50 : x
  2. Step 2: Convert to fraction form
    5,051.16/6,974.02 = 3,163.50/x
  3. Step 3: Cross multiply
    5,051.16x = 6,974.02 × 3,163.50
  4. Step 4: Simplify right side
    5,051.16x = 22,062,312.27
  5. Step 5: Solve for x
    x = 22,062,312.27/5,051.16
  6. Step 6: Final answer
    x = 4,367.77

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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.