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Finding the Fourth Proportional to 5,017.40, 7,523.34 and 3,984.03

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Solution

The fourth proportional to 5,017.40, 7,523.34 and 3,984.03 is: 5,973.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,017.40 : 7,523.34 = 3,984.03 : x
  2. Step 2: Convert to fraction form
    5,017.40/7,523.34 = 3,984.03/x
  3. Step 3: Cross multiply
    5,017.40x = 7,523.34 × 3,984.03
  4. Step 4: Simplify right side
    5,017.40x = 29,973,212.26
  5. Step 5: Solve for x
    x = 29,973,212.26/5,017.40
  6. Step 6: Final answer
    x = 5,973.86

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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.