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Finding the Fourth Proportional to 5,505.78, 7,596.79 and 3,268.40

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Solution

The fourth proportional to 5,505.78, 7,596.79 and 3,268.40 is: 4,509.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,505.78 : 7,596.79 = 3,268.40 : x
  2. Step 2: Convert to fraction form
    5,505.78/7,596.79 = 3,268.40/x
  3. Step 3: Cross multiply
    5,505.78x = 7,596.79 × 3,268.40
  4. Step 4: Simplify right side
    5,505.78x = 24,829,348.44
  5. Step 5: Solve for x
    x = 24,829,348.44/5,505.78
  6. Step 6: Final answer
    x = 4,509.69

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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.