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Finding the Fourth Proportional to 5,352.38, 8,028.93 and 2,065.50

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Solution

The fourth proportional to 5,352.38, 8,028.93 and 2,065.50 is: 3,098.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,352.38 : 8,028.93 = 2,065.50 : x
  2. Step 2: Convert to fraction form
    5,352.38/8,028.93 = 2,065.50/x
  3. Step 3: Cross multiply
    5,352.38x = 8,028.93 × 2,065.50
  4. Step 4: Simplify right side
    5,352.38x = 16,583,754.92
  5. Step 5: Solve for x
    x = 16,583,754.92/5,352.38
  6. Step 6: Final answer
    x = 3,098.39

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Why These Related Problems?

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