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Finding the Fourth Proportional to 3,459.56, 5,189.34 and 1,151

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Solution

The fourth proportional to 3,459.56, 5,189.34 and 1,151 is: 1,726.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.56 : 5,189.34 = 1,151 : x
  2. Step 2: Convert to fraction form
    3,459.56/5,189.34 = 1,151/x
  3. Step 3: Cross multiply
    3,459.56x = 5,189.34 × 1,151
  4. Step 4: Simplify right side
    3,459.56x = 5,972,930.34
  5. Step 5: Solve for x
    x = 5,972,930.34/3,459.56
  6. Step 6: Final answer
    x = 1,726.50

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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.