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Finding the Fourth Proportional to 3,649.38, 5,027.85 and 3,403.14

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Solution

The fourth proportional to 3,649.38, 5,027.85 and 3,403.14 is: 4,688.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.38 : 5,027.85 = 3,403.14 : x
  2. Step 2: Convert to fraction form
    3,649.38/5,027.85 = 3,403.14/x
  3. Step 3: Cross multiply
    3,649.38x = 5,027.85 × 3,403.14
  4. Step 4: Simplify right side
    3,649.38x = 17,110,477.45
  5. Step 5: Solve for x
    x = 17,110,477.45/3,649.38
  6. Step 6: Final answer
    x = 4,688.60

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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.