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Finding the Fourth Proportional to 4,778.28, 6,602.58 and 3,738.24

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Solution

The fourth proportional to 4,778.28, 6,602.58 and 3,738.24 is: 5,165.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.28 : 6,602.58 = 3,738.24 : x
  2. Step 2: Convert to fraction form
    4,778.28/6,602.58 = 3,738.24/x
  3. Step 3: Cross multiply
    4,778.28x = 6,602.58 × 3,738.24
  4. Step 4: Simplify right side
    4,778.28x = 24,682,028.66
  5. Step 5: Solve for x
    x = 24,682,028.66/4,778.28
  6. Step 6: Final answer
    x = 5,165.46

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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.