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Finding the Fourth Proportional to 3,924.66, 5,889.28 and 1,461.22

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Solution

The fourth proportional to 3,924.66, 5,889.28 and 1,461.22 is: 2,192.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.66 : 5,889.28 = 1,461.22 : x
  2. Step 2: Convert to fraction form
    3,924.66/5,889.28 = 1,461.22/x
  3. Step 3: Cross multiply
    3,924.66x = 5,889.28 × 1,461.22
  4. Step 4: Simplify right side
    3,924.66x = 8,605,533.72
  5. Step 5: Solve for x
    x = 8,605,533.72/3,924.66
  6. Step 6: Final answer
    x = 2,192.68

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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.