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Finding the Fourth Proportional to 5,152.95, 7,729.83 and 2,230.74

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Solution

The fourth proportional to 5,152.95, 7,729.83 and 2,230.74 is: 3,346.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.95 : 7,729.83 = 2,230.74 : x
  2. Step 2: Convert to fraction form
    5,152.95/7,729.83 = 2,230.74/x
  3. Step 3: Cross multiply
    5,152.95x = 7,729.83 × 2,230.74
  4. Step 4: Simplify right side
    5,152.95x = 17,243,240.97
  5. Step 5: Solve for x
    x = 17,243,240.97/5,152.95
  6. Step 6: Final answer
    x = 3,346.29

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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.