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Finding the Fourth Proportional to 3,543.58, 5,314.29 and 2,003.50

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Solution

The fourth proportional to 3,543.58, 5,314.29 and 2,003.50 is: 3,004.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.58 : 5,314.29 = 2,003.50 : x
  2. Step 2: Convert to fraction form
    3,543.58/5,314.29 = 2,003.50/x
  3. Step 3: Cross multiply
    3,543.58x = 5,314.29 × 2,003.50
  4. Step 4: Simplify right side
    3,543.58x = 10,647,180.02
  5. Step 5: Solve for x
    x = 10,647,180.02/3,543.58
  6. Step 6: Final answer
    x = 3,004.64

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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.