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Finding the Fourth Proportional to 5,476.56, 8,214.03 and 2,013

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Solution

The fourth proportional to 5,476.56, 8,214.03 and 2,013 is: 3,019.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,476.56 : 8,214.03 = 2,013 : x
  2. Step 2: Convert to fraction form
    5,476.56/8,214.03 = 2,013/x
  3. Step 3: Cross multiply
    5,476.56x = 8,214.03 × 2,013
  4. Step 4: Simplify right side
    5,476.56x = 16,534,842.39
  5. Step 5: Solve for x
    x = 16,534,842.39/5,476.56
  6. Step 6: Final answer
    x = 3,019.20

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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.