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Finding the Fourth Proportional to 4,494.74, 6,743.09 and 1,721.42

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Solution

The fourth proportional to 4,494.74, 6,743.09 and 1,721.42 is: 2,582.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.74 : 6,743.09 = 1,721.42 : x
  2. Step 2: Convert to fraction form
    4,494.74/6,743.09 = 1,721.42/x
  3. Step 3: Cross multiply
    4,494.74x = 6,743.09 × 1,721.42
  4. Step 4: Simplify right side
    4,494.74x = 11,607,647.67
  5. Step 5: Solve for x
    x = 11,607,647.67/4,494.74
  6. Step 6: Final answer
    x = 2,582.49

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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.