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Finding the Fourth Proportional to 5,645.98, 8,469.75 and 2,358.32

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Solution

The fourth proportional to 5,645.98, 8,469.75 and 2,358.32 is: 3,537.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.98 : 8,469.75 = 2,358.32 : x
  2. Step 2: Convert to fraction form
    5,645.98/8,469.75 = 2,358.32/x
  3. Step 3: Cross multiply
    5,645.98x = 8,469.75 × 2,358.32
  4. Step 4: Simplify right side
    5,645.98x = 19,974,380.82
  5. Step 5: Solve for x
    x = 19,974,380.82/5,645.98
  6. Step 6: Final answer
    x = 3,537.81

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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.