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Finding the Fourth Proportional to 5,468.42, 8,203.80 and 1,771.02

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Solution

The fourth proportional to 5,468.42, 8,203.80 and 1,771.02 is: 2,656.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.42 : 8,203.80 = 1,771.02 : x
  2. Step 2: Convert to fraction form
    5,468.42/8,203.80 = 1,771.02/x
  3. Step 3: Cross multiply
    5,468.42x = 8,203.80 × 1,771.02
  4. Step 4: Simplify right side
    5,468.42x = 14,529,093.88
  5. Step 5: Solve for x
    x = 14,529,093.88/5,468.42
  6. Step 6: Final answer
    x = 2,656.91

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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.