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Finding the Fourth Proportional to 4,704.36, 6,491.16 and 3,025.20

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Solution

The fourth proportional to 4,704.36, 6,491.16 and 3,025.20 is: 4,174.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704.36 : 6,491.16 = 3,025.20 : x
  2. Step 2: Convert to fraction form
    4,704.36/6,491.16 = 3,025.20/x
  3. Step 3: Cross multiply
    4,704.36x = 6,491.16 × 3,025.20
  4. Step 4: Simplify right side
    4,704.36x = 19,637,057.23
  5. Step 5: Solve for x
    x = 19,637,057.23/4,704.36
  6. Step 6: Final answer
    x = 4,174.23

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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.