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Finding the Fourth Proportional to 5,459.49, 8,193.30 and 4,057.14

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Solution

The fourth proportional to 5,459.49, 8,193.30 and 4,057.14 is: 6,088.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,459.49 : 8,193.30 = 4,057.14 : x
  2. Step 2: Convert to fraction form
    5,459.49/8,193.30 = 4,057.14/x
  3. Step 3: Cross multiply
    5,459.49x = 8,193.30 × 4,057.14
  4. Step 4: Simplify right side
    5,459.49x = 33,241,376.50
  5. Step 5: Solve for x
    x = 33,241,376.50/5,459.49
  6. Step 6: Final answer
    x = 6,088.73

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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.