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Finding the Fourth Proportional to 3,658.75, 5,485.38 and 1,192.09

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Solution

The fourth proportional to 3,658.75, 5,485.38 and 1,192.09 is: 1,787.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.75 : 5,485.38 = 1,192.09 : x
  2. Step 2: Convert to fraction form
    3,658.75/5,485.38 = 1,192.09/x
  3. Step 3: Cross multiply
    3,658.75x = 5,485.38 × 1,192.09
  4. Step 4: Simplify right side
    3,658.75x = 6,539,066.64
  5. Step 5: Solve for x
    x = 6,539,066.64/3,658.75
  6. Step 6: Final answer
    x = 1,787.24

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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.