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Finding the Fourth Proportional to 5,623.70, 7,760.70 and 3,265.99

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Solution

The fourth proportional to 5,623.70, 7,760.70 and 3,265.99 is: 4,507.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,623.70 : 7,760.70 = 3,265.99 : x
  2. Step 2: Convert to fraction form
    5,623.70/7,760.70 = 3,265.99/x
  3. Step 3: Cross multiply
    5,623.70x = 7,760.70 × 3,265.99
  4. Step 4: Simplify right side
    5,623.70x = 25,346,398.01
  5. Step 5: Solve for x
    x = 25,346,398.01/5,623.70
  6. Step 6: Final answer
    x = 4,507.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.