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Finding the Fourth Proportional to 4,297.53, 6,416.89 and 3,849.90

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Solution

The fourth proportional to 4,297.53, 6,416.89 and 3,849.90 is: 5,748.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.53 : 6,416.89 = 3,849.90 : x
  2. Step 2: Convert to fraction form
    4,297.53/6,416.89 = 3,849.90/x
  3. Step 3: Cross multiply
    4,297.53x = 6,416.89 × 3,849.90
  4. Step 4: Simplify right side
    4,297.53x = 24,704,398.05
  5. Step 5: Solve for x
    x = 24,704,398.05/4,297.53
  6. Step 6: Final answer
    x = 5,748.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.