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Finding the Fourth Proportional to 4,138.99, 6,208.48 and 1,673.79

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Solution

The fourth proportional to 4,138.99, 6,208.48 and 1,673.79 is: 2,510.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.99 : 6,208.48 = 1,673.79 : x
  2. Step 2: Convert to fraction form
    4,138.99/6,208.48 = 1,673.79/x
  3. Step 3: Cross multiply
    4,138.99x = 6,208.48 × 1,673.79
  4. Step 4: Simplify right side
    4,138.99x = 10,391,691.74
  5. Step 5: Solve for x
    x = 10,391,691.74/4,138.99
  6. Step 6: Final answer
    x = 2,510.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.