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Finding the Fourth Proportional to 3,502.34, 5,249.96 and 2,270.53

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Solution

The fourth proportional to 3,502.34, 5,249.96 and 2,270.53 is: 3,403.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.34 : 5,249.96 = 2,270.53 : x
  2. Step 2: Convert to fraction form
    3,502.34/5,249.96 = 2,270.53/x
  3. Step 3: Cross multiply
    3,502.34x = 5,249.96 × 2,270.53
  4. Step 4: Simplify right side
    3,502.34x = 11,920,154.08
  5. Step 5: Solve for x
    x = 11,920,154.08/3,502.34
  6. Step 6: Final answer
    x = 3,403.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.