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Finding the Fourth Proportional to 4,834.33, 7,238.48 and 3,069.77

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Solution

The fourth proportional to 4,834.33, 7,238.48 and 3,069.77 is: 4,596.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,834.33 : 7,238.48 = 3,069.77 : x
  2. Step 2: Convert to fraction form
    4,834.33/7,238.48 = 3,069.77/x
  3. Step 3: Cross multiply
    4,834.33x = 7,238.48 × 3,069.77
  4. Step 4: Simplify right side
    4,834.33x = 22,220,482.60
  5. Step 5: Solve for x
    x = 22,220,482.60/4,834.33
  6. Step 6: Final answer
    x = 4,596.39

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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.