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Finding the Fourth Proportional to 3,894.64, 5,842.85 and 1,121.33

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Solution

The fourth proportional to 3,894.64, 5,842.85 and 1,121.33 is: 1,682.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.64 : 5,842.85 = 1,121.33 : x
  2. Step 2: Convert to fraction form
    3,894.64/5,842.85 = 1,121.33/x
  3. Step 3: Cross multiply
    3,894.64x = 5,842.85 × 1,121.33
  4. Step 4: Simplify right side
    3,894.64x = 6,551,762.99
  5. Step 5: Solve for x
    x = 6,551,762.99/3,894.64
  6. Step 6: Final answer
    x = 1,682.25

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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.