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Finding the Fourth Proportional to 3,768.60, 5,649.48 and 1,428.16

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Solution

The fourth proportional to 3,768.60, 5,649.48 and 1,428.16 is: 2,140.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.60 : 5,649.48 = 1,428.16 : x
  2. Step 2: Convert to fraction form
    3,768.60/5,649.48 = 1,428.16/x
  3. Step 3: Cross multiply
    3,768.60x = 5,649.48 × 1,428.16
  4. Step 4: Simplify right side
    3,768.60x = 8,068,361.36
  5. Step 5: Solve for x
    x = 8,068,361.36/3,768.60
  6. Step 6: Final answer
    x = 2,140.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.