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Finding the Fourth Proportional to 4,296.65, 5,929.47 and 2,408.14

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Solution

The fourth proportional to 4,296.65, 5,929.47 and 2,408.14 is: 3,323.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.65 : 5,929.47 = 2,408.14 : x
  2. Step 2: Convert to fraction form
    4,296.65/5,929.47 = 2,408.14/x
  3. Step 3: Cross multiply
    4,296.65x = 5,929.47 × 2,408.14
  4. Step 4: Simplify right side
    4,296.65x = 14,278,984.62
  5. Step 5: Solve for x
    x = 14,278,984.62/4,296.65
  6. Step 6: Final answer
    x = 3,323.29

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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.