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Finding the Fourth Proportional to 3,485.10, 5,224.44 and 1,509.48

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Solution

The fourth proportional to 3,485.10, 5,224.44 and 1,509.48 is: 2,262.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.10 : 5,224.44 = 1,509.48 : x
  2. Step 2: Convert to fraction form
    3,485.10/5,224.44 = 1,509.48/x
  3. Step 3: Cross multiply
    3,485.10x = 5,224.44 × 1,509.48
  4. Step 4: Simplify right side
    3,485.10x = 7,886,187.69
  5. Step 5: Solve for x
    x = 7,886,187.69/3,485.10
  6. Step 6: Final answer
    x = 2,262.83

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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.