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Finding the Fourth Proportional to 3,981.83, 5,943.51 and 3,514.77

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Solution

The fourth proportional to 3,981.83, 5,943.51 and 3,514.77 is: 5,246.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.83 : 5,943.51 = 3,514.77 : x
  2. Step 2: Convert to fraction form
    3,981.83/5,943.51 = 3,514.77/x
  3. Step 3: Cross multiply
    3,981.83x = 5,943.51 × 3,514.77
  4. Step 4: Simplify right side
    3,981.83x = 20,890,070.64
  5. Step 5: Solve for x
    x = 20,890,070.64/3,981.83
  6. Step 6: Final answer
    x = 5,246.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.