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Finding the Fourth Proportional to 4,836.38, 7,255.50 and 1,549.22

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Solution

The fourth proportional to 4,836.38, 7,255.50 and 1,549.22 is: 2,324.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,836.38 : 7,255.50 = 1,549.22 : x
  2. Step 2: Convert to fraction form
    4,836.38/7,255.50 = 1,549.22/x
  3. Step 3: Cross multiply
    4,836.38x = 7,255.50 × 1,549.22
  4. Step 4: Simplify right side
    4,836.38x = 11,240,365.71
  5. Step 5: Solve for x
    x = 11,240,365.71/4,836.38
  6. Step 6: Final answer
    x = 2,324.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.