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Finding the Fourth Proportional to 5,224.60, 7,207.86 and 3,233.80

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Solution

The fourth proportional to 5,224.60, 7,207.86 and 3,233.80 is: 4,461.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.60 : 7,207.86 = 3,233.80 : x
  2. Step 2: Convert to fraction form
    5,224.60/7,207.86 = 3,233.80/x
  3. Step 3: Cross multiply
    5,224.60x = 7,207.86 × 3,233.80
  4. Step 4: Simplify right side
    5,224.60x = 23,308,777.67
  5. Step 5: Solve for x
    x = 23,308,777.67/5,224.60
  6. Step 6: Final answer
    x = 4,461.35

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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.