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Finding the Fourth Proportional to 5,473.99, 8,213.01 and 3,132.55

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Solution

The fourth proportional to 5,473.99, 8,213.01 and 3,132.55 is: 4,699.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,473.99 : 8,213.01 = 3,132.55 : x
  2. Step 2: Convert to fraction form
    5,473.99/8,213.01 = 3,132.55/x
  3. Step 3: Cross multiply
    5,473.99x = 8,213.01 × 3,132.55
  4. Step 4: Simplify right side
    5,473.99x = 25,727,664.48
  5. Step 5: Solve for x
    x = 25,727,664.48/5,473.99
  6. Step 6: Final answer
    x = 4,699.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.