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Finding the Fourth Proportional to 3,584.59, 5,371.00 and 3,447.90

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Solution

The fourth proportional to 3,584.59, 5,371.00 and 3,447.90 is: 5,166.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.59 : 5,371.00 = 3,447.90 : x
  2. Step 2: Convert to fraction form
    3,584.59/5,371.00 = 3,447.90/x
  3. Step 3: Cross multiply
    3,584.59x = 5,371.00 × 3,447.90
  4. Step 4: Simplify right side
    3,584.59x = 18,518,662.28
  5. Step 5: Solve for x
    x = 18,518,662.28/3,584.59
  6. Step 6: Final answer
    x = 5,166.19

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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.