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Finding the Fourth Proportional to 3,394.10, 5,091.20 and 929.12

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Solution

The fourth proportional to 3,394.10, 5,091.20 and 929.12 is: 1,393.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.10 : 5,091.20 = 929.12 : x
  2. Step 2: Convert to fraction form
    3,394.10/5,091.20 = 929.12/x
  3. Step 3: Cross multiply
    3,394.10x = 5,091.20 × 929.12
  4. Step 4: Simplify right side
    3,394.10x = 4,730,335.74
  5. Step 5: Solve for x
    x = 4,730,335.74/3,394.10
  6. Step 6: Final answer
    x = 1,393.69

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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.