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Finding the Fourth Proportional to 5,405.64, 8,101.99 and 3,532.43

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Solution

The fourth proportional to 5,405.64, 8,101.99 and 3,532.43 is: 5,294.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.64 : 8,101.99 = 3,532.43 : x
  2. Step 2: Convert to fraction form
    5,405.64/8,101.99 = 3,532.43/x
  3. Step 3: Cross multiply
    5,405.64x = 8,101.99 × 3,532.43
  4. Step 4: Simplify right side
    5,405.64x = 28,619,712.54
  5. Step 5: Solve for x
    x = 28,619,712.54/5,405.64
  6. Step 6: Final answer
    x = 5,294.42

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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.