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Finding the Fourth Proportional to 4,930.94, 7,394.17 and 1,420.14

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Solution

The fourth proportional to 4,930.94, 7,394.17 and 1,420.14 is: 2,129.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930.94 : 7,394.17 = 1,420.14 : x
  2. Step 2: Convert to fraction form
    4,930.94/7,394.17 = 1,420.14/x
  3. Step 3: Cross multiply
    4,930.94x = 7,394.17 × 1,420.14
  4. Step 4: Simplify right side
    4,930.94x = 10,500,756.58
  5. Step 5: Solve for x
    x = 10,500,756.58/4,930.94
  6. Step 6: Final answer
    x = 2,129.56

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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.