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Finding the Fourth Proportional to 3,679.02, 5,486.94 and 3,649.86

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Solution

The fourth proportional to 3,679.02, 5,486.94 and 3,649.86 is: 5,443.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.02 : 5,486.94 = 3,649.86 : x
  2. Step 2: Convert to fraction form
    3,679.02/5,486.94 = 3,649.86/x
  3. Step 3: Cross multiply
    3,679.02x = 5,486.94 × 3,649.86
  4. Step 4: Simplify right side
    3,679.02x = 20,026,562.83
  5. Step 5: Solve for x
    x = 20,026,562.83/3,679.02
  6. Step 6: Final answer
    x = 5,443.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.