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Finding the Fourth Proportional to 3,894.88, 5,843.04 and 3,345.52

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Solution

The fourth proportional to 3,894.88, 5,843.04 and 3,345.52 is: 5,018.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.88 : 5,843.04 = 3,345.52 : x
  2. Step 2: Convert to fraction form
    3,894.88/5,843.04 = 3,345.52/x
  3. Step 3: Cross multiply
    3,894.88x = 5,843.04 × 3,345.52
  4. Step 4: Simplify right side
    3,894.88x = 19,548,007.18
  5. Step 5: Solve for x
    x = 19,548,007.18/3,894.88
  6. Step 6: Final answer
    x = 5,018.90

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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.