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Finding the Fourth Proportional to 5,179.34, 7,762.08 and 2,835.81

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Solution

The fourth proportional to 5,179.34, 7,762.08 and 2,835.81 is: 4,249.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,179.34 : 7,762.08 = 2,835.81 : x
  2. Step 2: Convert to fraction form
    5,179.34/7,762.08 = 2,835.81/x
  3. Step 3: Cross multiply
    5,179.34x = 7,762.08 × 2,835.81
  4. Step 4: Simplify right side
    5,179.34x = 22,011,778.77
  5. Step 5: Solve for x
    x = 22,011,778.77/5,179.34
  6. Step 6: Final answer
    x = 4,249.92

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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.