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Finding the Fourth Proportional to 3,566.50, 4,922 and 1,994.74

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Solution

The fourth proportional to 3,566.50, 4,922 and 1,994.74 is: 2,752.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.50 : 4,922 = 1,994.74 : x
  2. Step 2: Convert to fraction form
    3,566.50/4,922 = 1,994.74/x
  3. Step 3: Cross multiply
    3,566.50x = 4,922 × 1,994.74
  4. Step 4: Simplify right side
    3,566.50x = 9,818,110.28
  5. Step 5: Solve for x
    x = 9,818,110.28/3,566.50
  6. Step 6: Final answer
    x = 2,752.87

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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.