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Finding the Fourth Proportional to 3,930.07, 5,894.40 and 1,156.69

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Solution

The fourth proportional to 3,930.07, 5,894.40 and 1,156.69 is: 1,734.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.07 : 5,894.40 = 1,156.69 : x
  2. Step 2: Convert to fraction form
    3,930.07/5,894.40 = 1,156.69/x
  3. Step 3: Cross multiply
    3,930.07x = 5,894.40 × 1,156.69
  4. Step 4: Simplify right side
    3,930.07x = 6,817,993.54
  5. Step 5: Solve for x
    x = 6,817,993.54/3,930.07
  6. Step 6: Final answer
    x = 1,734.83

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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.