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Finding the Fourth Proportional to 5,224.86, 7,836.89 and 2,303.19

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Solution

The fourth proportional to 5,224.86, 7,836.89 and 2,303.19 is: 3,454.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.86 : 7,836.89 = 2,303.19 : x
  2. Step 2: Convert to fraction form
    5,224.86/7,836.89 = 2,303.19/x
  3. Step 3: Cross multiply
    5,224.86x = 7,836.89 × 2,303.19
  4. Step 4: Simplify right side
    5,224.86x = 18,049,835.16
  5. Step 5: Solve for x
    x = 18,049,835.16/5,224.86
  6. Step 6: Final answer
    x = 3,454.61

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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.