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Finding the Fourth Proportional to 4,297.03, 5,929.38 and 2,408.46

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Solution

The fourth proportional to 4,297.03, 5,929.38 and 2,408.46 is: 3,323.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.03 : 5,929.38 = 2,408.46 : x
  2. Step 2: Convert to fraction form
    4,297.03/5,929.38 = 2,408.46/x
  3. Step 3: Cross multiply
    4,297.03x = 5,929.38 × 2,408.46
  4. Step 4: Simplify right side
    4,297.03x = 14,280,674.55
  5. Step 5: Solve for x
    x = 14,280,674.55/4,297.03
  6. Step 6: Final answer
    x = 3,323.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.