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Finding the Fourth Proportional to 3,764.68, 5,194.90 and 2,980.68

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Solution

The fourth proportional to 3,764.68, 5,194.90 and 2,980.68 is: 4,113.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.68 : 5,194.90 = 2,980.68 : x
  2. Step 2: Convert to fraction form
    3,764.68/5,194.90 = 2,980.68/x
  3. Step 3: Cross multiply
    3,764.68x = 5,194.90 × 2,980.68
  4. Step 4: Simplify right side
    3,764.68x = 15,484,334.53
  5. Step 5: Solve for x
    x = 15,484,334.53/3,764.68
  6. Step 6: Final answer
    x = 4,113.05

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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.