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Finding the Fourth Proportional to 4,755.60, 6,564.22 and 3,265.60

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Solution

The fourth proportional to 4,755.60, 6,564.22 and 3,265.60 is: 4,507.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,755.60 : 6,564.22 = 3,265.60 : x
  2. Step 2: Convert to fraction form
    4,755.60/6,564.22 = 3,265.60/x
  3. Step 3: Cross multiply
    4,755.60x = 6,564.22 × 3,265.60
  4. Step 4: Simplify right side
    4,755.60x = 21,436,116.83
  5. Step 5: Solve for x
    x = 21,436,116.83/4,755.60
  6. Step 6: Final answer
    x = 4,507.55

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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.