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Finding the Fourth Proportional to 7,738.44, 11,596.72 and 3,845.58

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Solution

The fourth proportional to 7,738.44, 11,596.72 and 3,845.58 is: 5,762.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,738.44 : 11,596.72 = 3,845.58 : x
  2. Step 2: Convert to fraction form
    7,738.44/11,596.72 = 3,845.58/x
  3. Step 3: Cross multiply
    7,738.44x = 11,596.72 × 3,845.58
  4. Step 4: Simplify right side
    7,738.44x = 44,596,114.50
  5. Step 5: Solve for x
    x = 44,596,114.50/7,738.44
  6. Step 6: Final answer
    x = 5,762.93

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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.