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Finding the Fourth Proportional to 4,774.86, 7,156.82 and 1,850.66

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Solution

The fourth proportional to 4,774.86, 7,156.82 and 1,850.66 is: 2,773.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.86 : 7,156.82 = 1,850.66 : x
  2. Step 2: Convert to fraction form
    4,774.86/7,156.82 = 1,850.66/x
  3. Step 3: Cross multiply
    4,774.86x = 7,156.82 × 1,850.66
  4. Step 4: Simplify right side
    4,774.86x = 13,244,840.50
  5. Step 5: Solve for x
    x = 13,244,840.50/4,774.86
  6. Step 6: Final answer
    x = 2,773.87

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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.