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Finding the Fourth Proportional to 5,097.26, 7,645.83 and 1,935.32

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Solution

The fourth proportional to 5,097.26, 7,645.83 and 1,935.32 is: 2,902.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.26 : 7,645.83 = 1,935.32 : x
  2. Step 2: Convert to fraction form
    5,097.26/7,645.83 = 1,935.32/x
  3. Step 3: Cross multiply
    5,097.26x = 7,645.83 × 1,935.32
  4. Step 4: Simplify right side
    5,097.26x = 14,797,127.72
  5. Step 5: Solve for x
    x = 14,797,127.72/5,097.26
  6. Step 6: Final answer
    x = 2,902.96

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Why These Related Problems?

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