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Finding the Fourth Proportional to 5,216.25, 7,197.54 and 3,446.91

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Solution

The fourth proportional to 5,216.25, 7,197.54 and 3,446.91 is: 4,756.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.25 : 7,197.54 = 3,446.91 : x
  2. Step 2: Convert to fraction form
    5,216.25/7,197.54 = 3,446.91/x
  3. Step 3: Cross multiply
    5,216.25x = 7,197.54 × 3,446.91
  4. Step 4: Simplify right side
    5,216.25x = 24,809,272.60
  5. Step 5: Solve for x
    x = 24,809,272.60/5,216.25
  6. Step 6: Final answer
    x = 4,756.15

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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.