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Finding the Fourth Proportional to 5,890.28, 8,131.86 and 3,533

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Solution

The fourth proportional to 5,890.28, 8,131.86 and 3,533 is: 4,877.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.28 : 8,131.86 = 3,533 : x
  2. Step 2: Convert to fraction form
    5,890.28/8,131.86 = 3,533/x
  3. Step 3: Cross multiply
    5,890.28x = 8,131.86 × 3,533
  4. Step 4: Simplify right side
    5,890.28x = 28,729,861.38
  5. Step 5: Solve for x
    x = 28,729,861.38/5,890.28
  6. Step 6: Final answer
    x = 4,877.50

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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.