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Finding the Fourth Proportional to 3,625.48, 5,005.70 and 3,202.60

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Solution

The fourth proportional to 3,625.48, 5,005.70 and 3,202.60 is: 4,421.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,625.48 : 5,005.70 = 3,202.60 : x
  2. Step 2: Convert to fraction form
    3,625.48/5,005.70 = 3,202.60/x
  3. Step 3: Cross multiply
    3,625.48x = 5,005.70 × 3,202.60
  4. Step 4: Simplify right side
    3,625.48x = 16,031,254.82
  5. Step 5: Solve for x
    x = 16,031,254.82/3,625.48
  6. Step 6: Final answer
    x = 4,421.83

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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.