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Finding the Fourth Proportional to 5,774.56, 8,661.86 and 1,614.57

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Solution

The fourth proportional to 5,774.56, 8,661.86 and 1,614.57 is: 2,421.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.56 : 8,661.86 = 1,614.57 : x
  2. Step 2: Convert to fraction form
    5,774.56/8,661.86 = 1,614.57/x
  3. Step 3: Cross multiply
    5,774.56x = 8,661.86 × 1,614.57
  4. Step 4: Simplify right side
    5,774.56x = 13,985,144.80
  5. Step 5: Solve for x
    x = 13,985,144.80/5,774.56
  6. Step 6: Final answer
    x = 2,421.86

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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.