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Finding the Fourth Proportional to 3,535.89, 5,303.48 and 939.09

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Solution

The fourth proportional to 3,535.89, 5,303.48 and 939.09 is: 1,408.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.89 : 5,303.48 = 939.09 : x
  2. Step 2: Convert to fraction form
    3,535.89/5,303.48 = 939.09/x
  3. Step 3: Cross multiply
    3,535.89x = 5,303.48 × 939.09
  4. Step 4: Simplify right side
    3,535.89x = 4,980,440.34
  5. Step 5: Solve for x
    x = 4,980,440.34/3,535.89
  6. Step 6: Final answer
    x = 1,408.54

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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.