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Finding the Fourth Proportional to 5,177.94, 7,758.81 and 2,835.96

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Solution

The fourth proportional to 5,177.94, 7,758.81 and 2,835.96 is: 4,249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177.94 : 7,758.81 = 2,835.96 : x
  2. Step 2: Convert to fraction form
    5,177.94/7,758.81 = 2,835.96/x
  3. Step 3: Cross multiply
    5,177.94x = 7,758.81 × 2,835.96
  4. Step 4: Simplify right side
    5,177.94x = 22,003,674.81
  5. Step 5: Solve for x
    x = 22,003,674.81/5,177.94
  6. Step 6: Final answer
    x = 4,249.50

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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.