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Finding the Fourth Proportional to 3,885.40, 5,828.28 and 1,112.48

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Solution

The fourth proportional to 3,885.40, 5,828.28 and 1,112.48 is: 1,668.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.40 : 5,828.28 = 1,112.48 : x
  2. Step 2: Convert to fraction form
    3,885.40/5,828.28 = 1,112.48/x
  3. Step 3: Cross multiply
    3,885.40x = 5,828.28 × 1,112.48
  4. Step 4: Simplify right side
    3,885.40x = 6,483,844.93
  5. Step 5: Solve for x
    x = 6,483,844.93/3,885.40
  6. Step 6: Final answer
    x = 1,668.77

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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.