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Finding the Fourth Proportional to 5,297.85, 7,309.98 and 3,201.98

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Solution

The fourth proportional to 5,297.85, 7,309.98 and 3,201.98 is: 4,418.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.85 : 7,309.98 = 3,201.98 : x
  2. Step 2: Convert to fraction form
    5,297.85/7,309.98 = 3,201.98/x
  3. Step 3: Cross multiply
    5,297.85x = 7,309.98 × 3,201.98
  4. Step 4: Simplify right side
    5,297.85x = 23,406,409.76
  5. Step 5: Solve for x
    x = 23,406,409.76/5,297.85
  6. Step 6: Final answer
    x = 4,418.10

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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.