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Finding the Fourth Proportional to 4,148.01, 6,222.11 and 1,549.53

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Solution

The fourth proportional to 4,148.01, 6,222.11 and 1,549.53 is: 2,324.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,148.01 : 6,222.11 = 1,549.53 : x
  2. Step 2: Convert to fraction form
    4,148.01/6,222.11 = 1,549.53/x
  3. Step 3: Cross multiply
    4,148.01x = 6,222.11 × 1,549.53
  4. Step 4: Simplify right side
    4,148.01x = 9,641,338.36
  5. Step 5: Solve for x
    x = 9,641,338.36/4,148.01
  6. Step 6: Final answer
    x = 2,324.33

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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.