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Finding the Fourth Proportional to 5,089.70, 7,629.68 and 3,235.07

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Solution

The fourth proportional to 5,089.70, 7,629.68 and 3,235.07 is: 4,849.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,089.70 : 7,629.68 = 3,235.07 : x
  2. Step 2: Convert to fraction form
    5,089.70/7,629.68 = 3,235.07/x
  3. Step 3: Cross multiply
    5,089.70x = 7,629.68 × 3,235.07
  4. Step 4: Simplify right side
    5,089.70x = 24,682,494.55
  5. Step 5: Solve for x
    x = 24,682,494.55/5,089.70
  6. Step 6: Final answer
    x = 4,849.50

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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.