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Finding the Fourth Proportional to 3,704.52, 5,111.16 and 2,288.40

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Solution

The fourth proportional to 3,704.52, 5,111.16 and 2,288.40 is: 3,157.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.52 : 5,111.16 = 2,288.40 : x
  2. Step 2: Convert to fraction form
    3,704.52/5,111.16 = 2,288.40/x
  3. Step 3: Cross multiply
    3,704.52x = 5,111.16 × 2,288.40
  4. Step 4: Simplify right side
    3,704.52x = 11,696,378.54
  5. Step 5: Solve for x
    x = 11,696,378.54/3,704.52
  6. Step 6: Final answer
    x = 3,157.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.