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Finding the Fourth Proportional to 4,774.66, 7,157.21 and 2,271.46

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Solution

The fourth proportional to 4,774.66, 7,157.21 and 2,271.46 is: 3,404.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.66 : 7,157.21 = 2,271.46 : x
  2. Step 2: Convert to fraction form
    4,774.66/7,157.21 = 2,271.46/x
  3. Step 3: Cross multiply
    4,774.66x = 7,157.21 × 2,271.46
  4. Step 4: Simplify right side
    4,774.66x = 16,257,286.98
  5. Step 5: Solve for x
    x = 16,257,286.98/4,774.66
  6. Step 6: Final answer
    x = 3,404.91

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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.