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Finding the Fourth Proportional to 4,339.41, 6,504.79 and 1,744.17

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Solution

The fourth proportional to 4,339.41, 6,504.79 and 1,744.17 is: 2,614.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,339.41 : 6,504.79 = 1,744.17 : x
  2. Step 2: Convert to fraction form
    4,339.41/6,504.79 = 1,744.17/x
  3. Step 3: Cross multiply
    4,339.41x = 6,504.79 × 1,744.17
  4. Step 4: Simplify right side
    4,339.41x = 11,345,459.57
  5. Step 5: Solve for x
    x = 11,345,459.57/4,339.41
  6. Step 6: Final answer
    x = 2,614.52

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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.