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Finding the Fourth Proportional to 7,271.04, 10,906.48 and 2,654

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Solution

The fourth proportional to 7,271.04, 10,906.48 and 2,654 is: 3,980.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,271.04 : 10,906.48 = 2,654 : x
  2. Step 2: Convert to fraction form
    7,271.04/10,906.48 = 2,654/x
  3. Step 3: Cross multiply
    7,271.04x = 10,906.48 × 2,654
  4. Step 4: Simplify right side
    7,271.04x = 28,945,797.92
  5. Step 5: Solve for x
    x = 28,945,797.92/7,271.04
  6. Step 6: Final answer
    x = 3,980.97

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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.