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Finding the Fourth Proportional to 3,199.95, 4,796.74 and 1,351.53

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Solution

The fourth proportional to 3,199.95, 4,796.74 and 1,351.53 is: 2,025.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.95 : 4,796.74 = 1,351.53 : x
  2. Step 2: Convert to fraction form
    3,199.95/4,796.74 = 1,351.53/x
  3. Step 3: Cross multiply
    3,199.95x = 4,796.74 × 1,351.53
  4. Step 4: Simplify right side
    3,199.95x = 6,482,938.01
  5. Step 5: Solve for x
    x = 6,482,938.01/3,199.95
  6. Step 6: Final answer
    x = 2,025.95

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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.