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Finding the Fourth Proportional to 3,509.02, 5,262.99 and 1,201.06

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Solution

The fourth proportional to 3,509.02, 5,262.99 and 1,201.06 is: 1,801.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.02 : 5,262.99 = 1,201.06 : x
  2. Step 2: Convert to fraction form
    3,509.02/5,262.99 = 1,201.06/x
  3. Step 3: Cross multiply
    3,509.02x = 5,262.99 × 1,201.06
  4. Step 4: Simplify right side
    3,509.02x = 6,321,166.77
  5. Step 5: Solve for x
    x = 6,321,166.77/3,509.02
  6. Step 6: Final answer
    x = 1,801.41

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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.