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Finding the Fourth Proportional to 5,543.58, 7,650.10 and 3,025.66

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Solution

The fourth proportional to 5,543.58, 7,650.10 and 3,025.66 is: 4,175.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,543.58 : 7,650.10 = 3,025.66 : x
  2. Step 2: Convert to fraction form
    5,543.58/7,650.10 = 3,025.66/x
  3. Step 3: Cross multiply
    5,543.58x = 7,650.10 × 3,025.66
  4. Step 4: Simplify right side
    5,543.58x = 23,146,601.57
  5. Step 5: Solve for x
    x = 23,146,601.57/5,543.58
  6. Step 6: Final answer
    x = 4,175.39

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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.