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Finding the Fourth Proportional to 3,767.58, 5,198.04 and 2,276.10

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Solution

The fourth proportional to 3,767.58, 5,198.04 and 2,276.10 is: 3,140.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.58 : 5,198.04 = 2,276.10 : x
  2. Step 2: Convert to fraction form
    3,767.58/5,198.04 = 2,276.10/x
  3. Step 3: Cross multiply
    3,767.58x = 5,198.04 × 2,276.10
  4. Step 4: Simplify right side
    3,767.58x = 11,831,258.84
  5. Step 5: Solve for x
    x = 11,831,258.84/3,767.58
  6. Step 6: Final answer
    x = 3,140.28

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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.