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Finding the Fourth Proportional to 3,773, 5,203.38 and 2,445.38

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Solution

The fourth proportional to 3,773, 5,203.38 and 2,445.38 is: 3,372.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773 : 5,203.38 = 2,445.38 : x
  2. Step 2: Convert to fraction form
    3,773/5,203.38 = 2,445.38/x
  3. Step 3: Cross multiply
    3,773x = 5,203.38 × 2,445.38
  4. Step 4: Simplify right side
    3,773x = 12,724,241.38
  5. Step 5: Solve for x
    x = 12,724,241.38/3,773
  6. Step 6: Final answer
    x = 3,372.45

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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.