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Finding the Fourth Proportional to 5,459.54, 8,184.54 and 1,949

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Solution

The fourth proportional to 5,459.54, 8,184.54 and 1,949 is: 2,921.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,459.54 : 8,184.54 = 1,949 : x
  2. Step 2: Convert to fraction form
    5,459.54/8,184.54 = 1,949/x
  3. Step 3: Cross multiply
    5,459.54x = 8,184.54 × 1,949
  4. Step 4: Simplify right side
    5,459.54x = 15,951,668.46
  5. Step 5: Solve for x
    x = 15,951,668.46/5,459.54
  6. Step 6: Final answer
    x = 2,921.80

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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.