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Finding the Fourth Proportional to 4,278.55, 5,907.18 and 3,829.64

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Solution

The fourth proportional to 4,278.55, 5,907.18 and 3,829.64 is: 5,287.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,278.55 : 5,907.18 = 3,829.64 : x
  2. Step 2: Convert to fraction form
    4,278.55/5,907.18 = 3,829.64/x
  3. Step 3: Cross multiply
    4,278.55x = 5,907.18 × 3,829.64
  4. Step 4: Simplify right side
    4,278.55x = 22,622,372.82
  5. Step 5: Solve for x
    x = 22,622,372.82/4,278.55
  6. Step 6: Final answer
    x = 5,287.39

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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.