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Finding the Fourth Proportional to 3,967.37, 5,949.33 and 1,746.15

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Solution

The fourth proportional to 3,967.37, 5,949.33 and 1,746.15 is: 2,618.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.37 : 5,949.33 = 1,746.15 : x
  2. Step 2: Convert to fraction form
    3,967.37/5,949.33 = 1,746.15/x
  3. Step 3: Cross multiply
    3,967.37x = 5,949.33 × 1,746.15
  4. Step 4: Simplify right side
    3,967.37x = 10,388,422.58
  5. Step 5: Solve for x
    x = 10,388,422.58/3,967.37
  6. Step 6: Final answer
    x = 2,618.47

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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.