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Finding the Fourth Proportional to 3,421.89, 5,131 and 1,774.35

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Solution

The fourth proportional to 3,421.89, 5,131 and 1,774.35 is: 2,660.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.89 : 5,131 = 1,774.35 : x
  2. Step 2: Convert to fraction form
    3,421.89/5,131 = 1,774.35/x
  3. Step 3: Cross multiply
    3,421.89x = 5,131 × 1,774.35
  4. Step 4: Simplify right side
    3,421.89x = 9,104,189.85
  5. Step 5: Solve for x
    x = 9,104,189.85/3,421.89
  6. Step 6: Final answer
    x = 2,660.57

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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.