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Finding the Fourth Proportional to 3,566.54, 4,922.06 and 1,994.63

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Solution

The fourth proportional to 3,566.54, 4,922.06 and 1,994.63 is: 2,752.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.54 : 4,922.06 = 1,994.63 : x
  2. Step 2: Convert to fraction form
    3,566.54/4,922.06 = 1,994.63/x
  3. Step 3: Cross multiply
    3,566.54x = 4,922.06 × 1,994.63
  4. Step 4: Simplify right side
    3,566.54x = 9,817,653.95
  5. Step 5: Solve for x
    x = 9,817,653.95/3,566.54
  6. Step 6: Final answer
    x = 2,752.71

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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.