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Finding the Fourth Proportional to 3,974.94, 5,962.38 and 1,053.18

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Solution

The fourth proportional to 3,974.94, 5,962.38 and 1,053.18 is: 1,579.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.94 : 5,962.38 = 1,053.18 : x
  2. Step 2: Convert to fraction form
    3,974.94/5,962.38 = 1,053.18/x
  3. Step 3: Cross multiply
    3,974.94x = 5,962.38 × 1,053.18
  4. Step 4: Simplify right side
    3,974.94x = 6,279,459.37
  5. Step 5: Solve for x
    x = 6,279,459.37/3,974.94
  6. Step 6: Final answer
    x = 1,579.76

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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.