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Finding the Fourth Proportional to 5,477.75, 8,221.50 and 2,557.70

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Solution

The fourth proportional to 5,477.75, 8,221.50 and 2,557.70 is: 3,838.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477.75 : 8,221.50 = 2,557.70 : x
  2. Step 2: Convert to fraction form
    5,477.75/8,221.50 = 2,557.70/x
  3. Step 3: Cross multiply
    5,477.75x = 8,221.50 × 2,557.70
  4. Step 4: Simplify right side
    5,477.75x = 21,028,130.55
  5. Step 5: Solve for x
    x = 21,028,130.55/5,477.75
  6. Step 6: Final answer
    x = 3,838.83

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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.