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Finding the Fourth Proportional to 5,335.26, 7,364.70 and 3,765.48

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Solution

The fourth proportional to 5,335.26, 7,364.70 and 3,765.48 is: 5,197.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335.26 : 7,364.70 = 3,765.48 : x
  2. Step 2: Convert to fraction form
    5,335.26/7,364.70 = 3,765.48/x
  3. Step 3: Cross multiply
    5,335.26x = 7,364.70 × 3,765.48
  4. Step 4: Simplify right side
    5,335.26x = 27,731,630.56
  5. Step 5: Solve for x
    x = 27,731,630.56/5,335.26
  6. Step 6: Final answer
    x = 5,197.80

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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.