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Finding the Fourth Proportional to 3,472.89, 5,209.50 and 1,393.07

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Solution

The fourth proportional to 3,472.89, 5,209.50 and 1,393.07 is: 2,089.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.89 : 5,209.50 = 1,393.07 : x
  2. Step 2: Convert to fraction form
    3,472.89/5,209.50 = 1,393.07/x
  3. Step 3: Cross multiply
    3,472.89x = 5,209.50 × 1,393.07
  4. Step 4: Simplify right side
    3,472.89x = 7,257,219.34
  5. Step 5: Solve for x
    x = 7,257,219.34/3,472.89
  6. Step 6: Final answer
    x = 2,089.68

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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.