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Finding the Fourth Proportional to 7,291.87, 10,937.94 and 2,097.88

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Solution

The fourth proportional to 7,291.87, 10,937.94 and 2,097.88 is: 3,146.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,291.87 : 10,937.94 = 2,097.88 : x
  2. Step 2: Convert to fraction form
    7,291.87/10,937.94 = 2,097.88/x
  3. Step 3: Cross multiply
    7,291.87x = 10,937.94 × 2,097.88
  4. Step 4: Simplify right side
    7,291.87x = 22,946,485.57
  5. Step 5: Solve for x
    x = 22,946,485.57/7,291.87
  6. Step 6: Final answer
    x = 3,146.86

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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.