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Finding the Fourth Proportional to 3,394.84, 5,091.86 and 929.45

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Solution

The fourth proportional to 3,394.84, 5,091.86 and 929.45 is: 1,394.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.84 : 5,091.86 = 929.45 : x
  2. Step 2: Convert to fraction form
    3,394.84/5,091.86 = 929.45/x
  3. Step 3: Cross multiply
    3,394.84x = 5,091.86 × 929.45
  4. Step 4: Simplify right side
    3,394.84x = 4,732,630.01
  5. Step 5: Solve for x
    x = 4,732,630.01/3,394.84
  6. Step 6: Final answer
    x = 1,394.07

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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.