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Finding the Fourth Proportional to 3,394.62, 5,091.96 and 929.40

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Solution

The fourth proportional to 3,394.62, 5,091.96 and 929.40 is: 1,394.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.62 : 5,091.96 = 929.40 : x
  2. Step 2: Convert to fraction form
    3,394.62/5,091.96 = 929.40/x
  3. Step 3: Cross multiply
    3,394.62x = 5,091.96 × 929.40
  4. Step 4: Simplify right side
    3,394.62x = 4,732,467.62
  5. Step 5: Solve for x
    x = 4,732,467.62/3,394.62
  6. Step 6: Final answer
    x = 1,394.11

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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.