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Finding the Fourth Proportional to 5,493.37, 7,580.96 and 3,009.37

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Solution

The fourth proportional to 5,493.37, 7,580.96 and 3,009.37 is: 4,152.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.37 : 7,580.96 = 3,009.37 : x
  2. Step 2: Convert to fraction form
    5,493.37/7,580.96 = 3,009.37/x
  3. Step 3: Cross multiply
    5,493.37x = 7,580.96 × 3,009.37
  4. Step 4: Simplify right side
    5,493.37x = 22,813,898.55
  5. Step 5: Solve for x
    x = 22,813,898.55/5,493.37
  6. Step 6: Final answer
    x = 4,152.99

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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.