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Finding the Fourth Proportional to 4,649.83, 6,404.30 and 4,299.49

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Solution

The fourth proportional to 4,649.83, 6,404.30 and 4,299.49 is: 5,921.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.83 : 6,404.30 = 4,299.49 : x
  2. Step 2: Convert to fraction form
    4,649.83/6,404.30 = 4,299.49/x
  3. Step 3: Cross multiply
    4,649.83x = 6,404.30 × 4,299.49
  4. Step 4: Simplify right side
    4,649.83x = 27,535,202.31
  5. Step 5: Solve for x
    x = 27,535,202.31/4,649.83
  6. Step 6: Final answer
    x = 5,921.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.