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Finding the Fourth Proportional to 4,146.96, 6,220.23 and 1,549.70

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Solution

The fourth proportional to 4,146.96, 6,220.23 and 1,549.70 is: 2,324.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.96 : 6,220.23 = 1,549.70 : x
  2. Step 2: Convert to fraction form
    4,146.96/6,220.23 = 1,549.70/x
  3. Step 3: Cross multiply
    4,146.96x = 6,220.23 × 1,549.70
  4. Step 4: Simplify right side
    4,146.96x = 9,639,459.33
  5. Step 5: Solve for x
    x = 9,639,459.33/4,146.96
  6. Step 6: Final answer
    x = 2,324.46

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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.