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Finding the Fourth Proportional to 5,542.85, 7,649.06 and 3,025.00

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Solution

The fourth proportional to 5,542.85, 7,649.06 and 3,025.00 is: 4,174.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.85 : 7,649.06 = 3,025.00 : x
  2. Step 2: Convert to fraction form
    5,542.85/7,649.06 = 3,025.00/x
  3. Step 3: Cross multiply
    5,542.85x = 7,649.06 × 3,025.00
  4. Step 4: Simplify right side
    5,542.85x = 23,138,383.60
  5. Step 5: Solve for x
    x = 23,138,383.60/5,542.85
  6. Step 6: Final answer
    x = 4,174.46

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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.