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Finding the Fourth Proportional to 4,122, 6,183.36 and 1,044

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Solution

The fourth proportional to 4,122, 6,183.36 and 1,044 is: 1,566.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122 : 6,183.36 = 1,044 : x
  2. Step 2: Convert to fraction form
    4,122/6,183.36 = 1,044/x
  3. Step 3: Cross multiply
    4,122x = 6,183.36 × 1,044
  4. Step 4: Simplify right side
    4,122x = 6,455,427.84
  5. Step 5: Solve for x
    x = 6,455,427.84/4,122
  6. Step 6: Final answer
    x = 1,566.09

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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.