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Finding the Fourth Proportional to 4,461.33, 6,662.96 and 4,044

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Solution

The fourth proportional to 4,461.33, 6,662.96 and 4,044 is: 6,039.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,461.33 : 6,662.96 = 4,044 : x
  2. Step 2: Convert to fraction form
    4,461.33/6,662.96 = 4,044/x
  3. Step 3: Cross multiply
    4,461.33x = 6,662.96 × 4,044
  4. Step 4: Simplify right side
    4,461.33x = 26,945,010.24
  5. Step 5: Solve for x
    x = 26,945,010.24/4,461.33
  6. Step 6: Final answer
    x = 6,039.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.