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Finding the Fourth Proportional to 3,894.36, 5,842.80 and 2,334.12

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Solution

The fourth proportional to 3,894.36, 5,842.80 and 2,334.12 is: 3,501.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.36 : 5,842.80 = 2,334.12 : x
  2. Step 2: Convert to fraction form
    3,894.36/5,842.80 = 2,334.12/x
  3. Step 3: Cross multiply
    3,894.36x = 5,842.80 × 2,334.12
  4. Step 4: Simplify right side
    3,894.36x = 13,637,796.34
  5. Step 5: Solve for x
    x = 13,637,796.34/3,894.36
  6. Step 6: Final answer
    x = 3,501.94

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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.