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Finding the Fourth Proportional to 4,497.29, 6,743.84 and 1,376.49

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Solution

The fourth proportional to 4,497.29, 6,743.84 and 1,376.49 is: 2,064.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.29 : 6,743.84 = 1,376.49 : x
  2. Step 2: Convert to fraction form
    4,497.29/6,743.84 = 1,376.49/x
  3. Step 3: Cross multiply
    4,497.29x = 6,743.84 × 1,376.49
  4. Step 4: Simplify right side
    4,497.29x = 9,282,821.44
  5. Step 5: Solve for x
    x = 9,282,821.44/4,497.29
  6. Step 6: Final answer
    x = 2,064.09

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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.