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Finding the Fourth Proportional to 5,162.69, 7,737.88 and 2,696.16

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Solution

The fourth proportional to 5,162.69, 7,737.88 and 2,696.16 is: 4,041.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.69 : 7,737.88 = 2,696.16 : x
  2. Step 2: Convert to fraction form
    5,162.69/7,737.88 = 2,696.16/x
  3. Step 3: Cross multiply
    5,162.69x = 7,737.88 × 2,696.16
  4. Step 4: Simplify right side
    5,162.69x = 20,862,568.11
  5. Step 5: Solve for x
    x = 20,862,568.11/5,162.69
  6. Step 6: Final answer
    x = 4,041.03

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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.