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Finding the Fourth Proportional to 3,884.90, 5,828.26 and 1,111.61

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Solution

The fourth proportional to 3,884.90, 5,828.26 and 1,111.61 is: 1,667.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.90 : 5,828.26 = 1,111.61 : x
  2. Step 2: Convert to fraction form
    3,884.90/5,828.26 = 1,111.61/x
  3. Step 3: Cross multiply
    3,884.90x = 5,828.26 × 1,111.61
  4. Step 4: Simplify right side
    3,884.90x = 6,478,752.10
  5. Step 5: Solve for x
    x = 6,478,752.10/3,884.90
  6. Step 6: Final answer
    x = 1,667.68

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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.