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Finding the Fourth Proportional to 5,901.50, 8,147.44 and 3,914.76

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Solution

The fourth proportional to 5,901.50, 8,147.44 and 3,914.76 is: 5,404.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,901.50 : 8,147.44 = 3,914.76 : x
  2. Step 2: Convert to fraction form
    5,901.50/8,147.44 = 3,914.76/x
  3. Step 3: Cross multiply
    5,901.50x = 8,147.44 × 3,914.76
  4. Step 4: Simplify right side
    5,901.50x = 31,895,272.21
  5. Step 5: Solve for x
    x = 31,895,272.21/5,901.50
  6. Step 6: Final answer
    x = 5,404.60

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1.5x scale

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.