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Finding the Fourth Proportional to 3,929.57, 5,894.38 and 1,156.28

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Solution

The fourth proportional to 3,929.57, 5,894.38 and 1,156.28 is: 1,734.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,929.57 : 5,894.38 = 1,156.28 : x
  2. Step 2: Convert to fraction form
    3,929.57/5,894.38 = 1,156.28/x
  3. Step 3: Cross multiply
    3,929.57x = 5,894.38 × 1,156.28
  4. Step 4: Simplify right side
    3,929.57x = 6,815,525.68
  5. Step 5: Solve for x
    x = 6,815,525.68/3,929.57
  6. Step 6: Final answer
    x = 1,734.42

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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.