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Finding the Fourth Proportional to 5,212.64, 7,822.80 and 2,050.56

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Solution

The fourth proportional to 5,212.64, 7,822.80 and 2,050.56 is: 3,077.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.64 : 7,822.80 = 2,050.56 : x
  2. Step 2: Convert to fraction form
    5,212.64/7,822.80 = 2,050.56/x
  3. Step 3: Cross multiply
    5,212.64x = 7,822.80 × 2,050.56
  4. Step 4: Simplify right side
    5,212.64x = 16,041,120.77
  5. Step 5: Solve for x
    x = 16,041,120.77/5,212.64
  6. Step 6: Final answer
    x = 3,077.35

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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.