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Finding the Fourth Proportional to 5,586.38, 7,709.44 and 3,347.83

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Solution

The fourth proportional to 5,586.38, 7,709.44 and 3,347.83 is: 4,620.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.38 : 7,709.44 = 3,347.83 : x
  2. Step 2: Convert to fraction form
    5,586.38/7,709.44 = 3,347.83/x
  3. Step 3: Cross multiply
    5,586.38x = 7,709.44 × 3,347.83
  4. Step 4: Simplify right side
    5,586.38x = 25,809,894.52
  5. Step 5: Solve for x
    x = 25,809,894.52/5,586.38
  6. Step 6: Final answer
    x = 4,620.15

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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.