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Finding the Fourth Proportional to 3,293.84, 4,939.74 and 1,102.06

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Solution

The fourth proportional to 3,293.84, 4,939.74 and 1,102.06 is: 1,652.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.84 : 4,939.74 = 1,102.06 : x
  2. Step 2: Convert to fraction form
    3,293.84/4,939.74 = 1,102.06/x
  3. Step 3: Cross multiply
    3,293.84x = 4,939.74 × 1,102.06
  4. Step 4: Simplify right side
    3,293.84x = 5,443,889.86
  5. Step 5: Solve for x
    x = 5,443,889.86/3,293.84
  6. Step 6: Final answer
    x = 1,652.75

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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.