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Finding the Fourth Proportional to 5,535.16, 7,636.50 and 3,297.64

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Solution

The fourth proportional to 5,535.16, 7,636.50 and 3,297.64 is: 4,549.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,535.16 : 7,636.50 = 3,297.64 : x
  2. Step 2: Convert to fraction form
    5,535.16/7,636.50 = 3,297.64/x
  3. Step 3: Cross multiply
    5,535.16x = 7,636.50 × 3,297.64
  4. Step 4: Simplify right side
    5,535.16x = 25,182,427.86
  5. Step 5: Solve for x
    x = 25,182,427.86/5,535.16
  6. Step 6: Final answer
    x = 4,549.54

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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.