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Finding the Fourth Proportional to 3,801.36, 5,695.56 and 3,071.28

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Solution

The fourth proportional to 3,801.36, 5,695.56 and 3,071.28 is: 4,601.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.36 : 5,695.56 = 3,071.28 : x
  2. Step 2: Convert to fraction form
    3,801.36/5,695.56 = 3,071.28/x
  3. Step 3: Cross multiply
    3,801.36x = 5,695.56 × 3,071.28
  4. Step 4: Simplify right side
    3,801.36x = 17,492,659.52
  5. Step 5: Solve for x
    x = 17,492,659.52/3,801.36
  6. Step 6: Final answer
    x = 4,601.68

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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.