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Finding the Fourth Proportional to 3,812.70, 5,261.58 and 2,219.28

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Solution

The fourth proportional to 3,812.70, 5,261.58 and 2,219.28 is: 3,062.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.70 : 5,261.58 = 2,219.28 : x
  2. Step 2: Convert to fraction form
    3,812.70/5,261.58 = 2,219.28/x
  3. Step 3: Cross multiply
    3,812.70x = 5,261.58 × 2,219.28
  4. Step 4: Simplify right side
    3,812.70x = 11,676,919.26
  5. Step 5: Solve for x
    x = 11,676,919.26/3,812.70
  6. Step 6: Final answer
    x = 3,062.64

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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.