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Finding the Fourth Proportional to 5,097.13, 7,641.24 and 1,974.98

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Solution

The fourth proportional to 5,097.13, 7,641.24 and 1,974.98 is: 2,960.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.13 : 7,641.24 = 1,974.98 : x
  2. Step 2: Convert to fraction form
    5,097.13/7,641.24 = 1,974.98/x
  3. Step 3: Cross multiply
    5,097.13x = 7,641.24 × 1,974.98
  4. Step 4: Simplify right side
    5,097.13x = 15,091,307.87
  5. Step 5: Solve for x
    x = 15,091,307.87/5,097.13
  6. Step 6: Final answer
    x = 2,960.75

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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.