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Finding the Fourth Proportional to 4,146.89, 6,220.13 and 1,549.63

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Solution

The fourth proportional to 4,146.89, 6,220.13 and 1,549.63 is: 2,324.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.89 : 6,220.13 = 1,549.63 : x
  2. Step 2: Convert to fraction form
    4,146.89/6,220.13 = 1,549.63/x
  3. Step 3: Cross multiply
    4,146.89x = 6,220.13 × 1,549.63
  4. Step 4: Simplify right side
    4,146.89x = 9,638,900.05
  5. Step 5: Solve for x
    x = 9,638,900.05/4,146.89
  6. Step 6: Final answer
    x = 2,324.37

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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.