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Finding the Fourth Proportional to 5,003.56, 7,502.10 and 2,404

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Solution

The fourth proportional to 5,003.56, 7,502.10 and 2,404 is: 3,604.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,003.56 : 7,502.10 = 2,404 : x
  2. Step 2: Convert to fraction form
    5,003.56/7,502.10 = 2,404/x
  3. Step 3: Cross multiply
    5,003.56x = 7,502.10 × 2,404
  4. Step 4: Simplify right side
    5,003.56x = 18,035,048.40
  5. Step 5: Solve for x
    x = 18,035,048.40/5,003.56
  6. Step 6: Final answer
    x = 3,604.44

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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.