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Finding the Fourth Proportional to 5,352.50, 8,028.23 and 1,842.16

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Solution

The fourth proportional to 5,352.50, 8,028.23 and 1,842.16 is: 2,763.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,352.50 : 8,028.23 = 1,842.16 : x
  2. Step 2: Convert to fraction form
    5,352.50/8,028.23 = 1,842.16/x
  3. Step 3: Cross multiply
    5,352.50x = 8,028.23 × 1,842.16
  4. Step 4: Simplify right side
    5,352.50x = 14,789,280.31
  5. Step 5: Solve for x
    x = 14,789,280.31/5,352.50
  6. Step 6: Final answer
    x = 2,763.06

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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.