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Finding the Fourth Proportional to 4,739.50, 6,537.12 and 4,108.90

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Solution

The fourth proportional to 4,739.50, 6,537.12 and 4,108.90 is: 5,667.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,739.50 : 6,537.12 = 4,108.90 : x
  2. Step 2: Convert to fraction form
    4,739.50/6,537.12 = 4,108.90/x
  3. Step 3: Cross multiply
    4,739.50x = 6,537.12 × 4,108.90
  4. Step 4: Simplify right side
    4,739.50x = 26,860,329.41
  5. Step 5: Solve for x
    x = 26,860,329.41/4,739.50
  6. Step 6: Final answer
    x = 5,667.34

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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.