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Finding the Fourth Proportional to 4,973.42, 7,459.79 and 3,589.26

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Solution

The fourth proportional to 4,973.42, 7,459.79 and 3,589.26 is: 5,383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.42 : 7,459.79 = 3,589.26 : x
  2. Step 2: Convert to fraction form
    4,973.42/7,459.79 = 3,589.26/x
  3. Step 3: Cross multiply
    4,973.42x = 7,459.79 × 3,589.26
  4. Step 4: Simplify right side
    4,973.42x = 26,775,107.91
  5. Step 5: Solve for x
    x = 26,775,107.91/4,973.42
  6. Step 6: Final answer
    x = 5,383.65

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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.