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Finding the Fourth Proportional to 3,293.85, 4,939.74 and 1,102.07

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Solution

The fourth proportional to 3,293.85, 4,939.74 and 1,102.07 is: 1,652.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.85 : 4,939.74 = 1,102.07 : x
  2. Step 2: Convert to fraction form
    3,293.85/4,939.74 = 1,102.07/x
  3. Step 3: Cross multiply
    3,293.85x = 4,939.74 × 1,102.07
  4. Step 4: Simplify right side
    3,293.85x = 5,443,939.26
  5. Step 5: Solve for x
    x = 5,443,939.26/3,293.85
  6. Step 6: Final answer
    x = 1,652.76

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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.