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Finding the Fourth Proportional to 5,543.16, 7,649.64 and 3,025.26

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Solution

The fourth proportional to 5,543.16, 7,649.64 and 3,025.26 is: 4,174.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,543.16 : 7,649.64 = 3,025.26 : x
  2. Step 2: Convert to fraction form
    5,543.16/7,649.64 = 3,025.26/x
  3. Step 3: Cross multiply
    5,543.16x = 7,649.64 × 3,025.26
  4. Step 4: Simplify right side
    5,543.16x = 23,142,149.91
  5. Step 5: Solve for x
    x = 23,142,149.91/5,543.16
  6. Step 6: Final answer
    x = 4,174.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.