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Finding the Fourth Proportional to 4,427.42, 6,105.84 and 3,683.84

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Solution

The fourth proportional to 4,427.42, 6,105.84 and 3,683.84 is: 5,080.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,427.42 : 6,105.84 = 3,683.84 : x
  2. Step 2: Convert to fraction form
    4,427.42/6,105.84 = 3,683.84/x
  3. Step 3: Cross multiply
    4,427.42x = 6,105.84 × 3,683.84
  4. Step 4: Simplify right side
    4,427.42x = 22,492,907.10
  5. Step 5: Solve for x
    x = 22,492,907.10/4,427.42
  6. Step 6: Final answer
    x = 5,080.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.