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Finding the Fourth Proportional to 3,025.26, 4,537.92 and 945.36

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Solution

The fourth proportional to 3,025.26, 4,537.92 and 945.36 is: 1,418.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,025.26 : 4,537.92 = 945.36 : x
  2. Step 2: Convert to fraction form
    3,025.26/4,537.92 = 945.36/x
  3. Step 3: Cross multiply
    3,025.26x = 4,537.92 × 945.36
  4. Step 4: Simplify right side
    3,025.26x = 4,289,968.05
  5. Step 5: Solve for x
    x = 4,289,968.05/3,025.26
  6. Step 6: Final answer
    x = 1,418.05

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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.