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Finding the Fourth Proportional to 3,566.25, 4,921.43 and 1,994.65

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Solution

The fourth proportional to 3,566.25, 4,921.43 and 1,994.65 is: 2,752.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.25 : 4,921.43 = 1,994.65 : x
  2. Step 2: Convert to fraction form
    3,566.25/4,921.43 = 1,994.65/x
  3. Step 3: Cross multiply
    3,566.25x = 4,921.43 × 1,994.65
  4. Step 4: Simplify right side
    3,566.25x = 9,816,508.07
  5. Step 5: Solve for x
    x = 9,816,508.07/3,566.25
  6. Step 6: Final answer
    x = 2,752.61

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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.