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Finding the Fourth Proportional to 5,107.16, 7,658.92 and 1,774.56

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Solution

The fourth proportional to 5,107.16, 7,658.92 and 1,774.56 is: 2,661.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.16 : 7,658.92 = 1,774.56 : x
  2. Step 2: Convert to fraction form
    5,107.16/7,658.92 = 1,774.56/x
  3. Step 3: Cross multiply
    5,107.16x = 7,658.92 × 1,774.56
  4. Step 4: Simplify right side
    5,107.16x = 13,591,213.08
  5. Step 5: Solve for x
    x = 13,591,213.08/5,107.16
  6. Step 6: Final answer
    x = 2,661.21

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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.