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Finding the Fourth Proportional to 3,849, 5,774.46 and 1,113

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Solution

The fourth proportional to 3,849, 5,774.46 and 1,113 is: 1,669.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849 : 5,774.46 = 1,113 : x
  2. Step 2: Convert to fraction form
    3,849/5,774.46 = 1,113/x
  3. Step 3: Cross multiply
    3,849x = 5,774.46 × 1,113
  4. Step 4: Simplify right side
    3,849x = 6,426,973.98
  5. Step 5: Solve for x
    x = 6,426,973.98/3,849
  6. Step 6: Final answer
    x = 1,669.78

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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.