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Finding the Fourth Proportional to 6,337.48, 8,745.40 and 3,684.46

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Solution

The fourth proportional to 6,337.48, 8,745.40 and 3,684.46 is: 5,084.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.48 : 8,745.40 = 3,684.46 : x
  2. Step 2: Convert to fraction form
    6,337.48/8,745.40 = 3,684.46/x
  3. Step 3: Cross multiply
    6,337.48x = 8,745.40 × 3,684.46
  4. Step 4: Simplify right side
    6,337.48x = 32,222,076.48
  5. Step 5: Solve for x
    x = 32,222,076.48/6,337.48
  6. Step 6: Final answer
    x = 5,084.37

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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.