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Finding the Fourth Proportional to 3,658.75, 5,477.41 and 2,267.89

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Solution

The fourth proportional to 3,658.75, 5,477.41 and 2,267.89 is: 3,395.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.75 : 5,477.41 = 2,267.89 : x
  2. Step 2: Convert to fraction form
    3,658.75/5,477.41 = 2,267.89/x
  3. Step 3: Cross multiply
    3,658.75x = 5,477.41 × 2,267.89
  4. Step 4: Simplify right side
    3,658.75x = 12,422,144.00
  5. Step 5: Solve for x
    x = 12,422,144.00/3,658.75
  6. Step 6: Final answer
    x = 3,395.19

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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.