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Finding the Fourth Proportional to 3,404.72, 5,106.66 and 939.69

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Solution

The fourth proportional to 3,404.72, 5,106.66 and 939.69 is: 1,409.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.72 : 5,106.66 = 939.69 : x
  2. Step 2: Convert to fraction form
    3,404.72/5,106.66 = 939.69/x
  3. Step 3: Cross multiply
    3,404.72x = 5,106.66 × 939.69
  4. Step 4: Simplify right side
    3,404.72x = 4,798,677.34
  5. Step 5: Solve for x
    x = 4,798,677.34/3,404.72
  6. Step 6: Final answer
    x = 1,409.42

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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.