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Finding the Fourth Proportional to 3,400.47, 5,092.49 and 2,301.50

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Solution

The fourth proportional to 3,400.47, 5,092.49 and 2,301.50 is: 3,446.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.47 : 5,092.49 = 2,301.50 : x
  2. Step 2: Convert to fraction form
    3,400.47/5,092.49 = 2,301.50/x
  3. Step 3: Cross multiply
    3,400.47x = 5,092.49 × 2,301.50
  4. Step 4: Simplify right side
    3,400.47x = 11,720,328.77
  5. Step 5: Solve for x
    x = 11,720,328.77/3,400.47
  6. Step 6: Final answer
    x = 3,446.68

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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.