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Finding the Fourth Proportional to 4,649.40, 6,399.48 and 4,206.36

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Solution

The fourth proportional to 4,649.40, 6,399.48 and 4,206.36 is: 5,789.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.40 : 6,399.48 = 4,206.36 : x
  2. Step 2: Convert to fraction form
    4,649.40/6,399.48 = 4,206.36/x
  3. Step 3: Cross multiply
    4,649.40x = 6,399.48 × 4,206.36
  4. Step 4: Simplify right side
    4,649.40x = 26,918,516.69
  5. Step 5: Solve for x
    x = 26,918,516.69/4,649.40
  6. Step 6: Final answer
    x = 5,789.68

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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.