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Finding the Fourth Proportional to 4,560.78, 6,844.50 and 3,523.38

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Solution

The fourth proportional to 4,560.78, 6,844.50 and 3,523.38 is: 5,287.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,560.78 : 6,844.50 = 3,523.38 : x
  2. Step 2: Convert to fraction form
    4,560.78/6,844.50 = 3,523.38/x
  3. Step 3: Cross multiply
    4,560.78x = 6,844.50 × 3,523.38
  4. Step 4: Simplify right side
    4,560.78x = 24,115,774.41
  5. Step 5: Solve for x
    x = 24,115,774.41/4,560.78
  6. Step 6: Final answer
    x = 5,287.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.