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Finding the Fourth Proportional to 5,228.72, 7,841.16 and 2,150.96

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Solution

The fourth proportional to 5,228.72, 7,841.16 and 2,150.96 is: 3,225.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.72 : 7,841.16 = 2,150.96 : x
  2. Step 2: Convert to fraction form
    5,228.72/7,841.16 = 2,150.96/x
  3. Step 3: Cross multiply
    5,228.72x = 7,841.16 × 2,150.96
  4. Step 4: Simplify right side
    5,228.72x = 16,866,021.51
  5. Step 5: Solve for x
    x = 16,866,021.51/5,228.72
  6. Step 6: Final answer
    x = 3,225.65

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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.