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Finding the Fourth Proportional to 3,599.72, 5,392.38 and 1,649.24

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Solution

The fourth proportional to 3,599.72, 5,392.38 and 1,649.24 is: 2,470.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599.72 : 5,392.38 = 1,649.24 : x
  2. Step 2: Convert to fraction form
    3,599.72/5,392.38 = 1,649.24/x
  3. Step 3: Cross multiply
    3,599.72x = 5,392.38 × 1,649.24
  4. Step 4: Simplify right side
    3,599.72x = 8,893,328.79
  5. Step 5: Solve for x
    x = 8,893,328.79/3,599.72
  6. Step 6: Final answer
    x = 2,470.56

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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.