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Finding the Fourth Proportional to 5,289.70, 7,974.30 and 4,933.00

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Solution

The fourth proportional to 5,289.70, 7,974.30 and 4,933.00 is: 7,436.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.70 : 7,974.30 = 4,933.00 : x
  2. Step 2: Convert to fraction form
    5,289.70/7,974.30 = 4,933.00/x
  3. Step 3: Cross multiply
    5,289.70x = 7,974.30 × 4,933.00
  4. Step 4: Simplify right side
    5,289.70x = 39,337,157.36
  5. Step 5: Solve for x
    x = 39,337,157.36/5,289.70
  6. Step 6: Final answer
    x = 7,436.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.