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Finding the Fourth Proportional to 3,756.66, 5,181.93 and 2,764.50

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Solution

The fourth proportional to 3,756.66, 5,181.93 and 2,764.50 is: 3,813.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.66 : 5,181.93 = 2,764.50 : x
  2. Step 2: Convert to fraction form
    3,756.66/5,181.93 = 2,764.50/x
  3. Step 3: Cross multiply
    3,756.66x = 5,181.93 × 2,764.50
  4. Step 4: Simplify right side
    3,756.66x = 14,325,445.49
  5. Step 5: Solve for x
    x = 14,325,445.49/3,756.66
  6. Step 6: Final answer
    x = 3,813.35

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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.