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Finding the Fourth Proportional to 3,343.86, 5,011.74 and 2,370.24

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Solution

The fourth proportional to 3,343.86, 5,011.74 and 2,370.24 is: 3,552.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343.86 : 5,011.74 = 2,370.24 : x
  2. Step 2: Convert to fraction form
    3,343.86/5,011.74 = 2,370.24/x
  3. Step 3: Cross multiply
    3,343.86x = 5,011.74 × 2,370.24
  4. Step 4: Simplify right side
    3,343.86x = 11,879,026.62
  5. Step 5: Solve for x
    x = 11,879,026.62/3,343.86
  6. Step 6: Final answer
    x = 3,552.49

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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.