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Finding the Fourth Proportional to 3,849.75, 5,774.90 and 1,316.88

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Solution

The fourth proportional to 3,849.75, 5,774.90 and 1,316.88 is: 1,975.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.75 : 5,774.90 = 1,316.88 : x
  2. Step 2: Convert to fraction form
    3,849.75/5,774.90 = 1,316.88/x
  3. Step 3: Cross multiply
    3,849.75x = 5,774.90 × 1,316.88
  4. Step 4: Simplify right side
    3,849.75x = 7,604,843.73
  5. Step 5: Solve for x
    x = 7,604,843.73/3,849.75
  6. Step 6: Final answer
    x = 1,975.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.