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Finding the Fourth Proportional to 6,858.52, 9,464.84 and 3,833.50

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Solution

The fourth proportional to 6,858.52, 9,464.84 and 3,833.50 is: 5,290.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.52 : 9,464.84 = 3,833.50 : x
  2. Step 2: Convert to fraction form
    6,858.52/9,464.84 = 3,833.50/x
  3. Step 3: Cross multiply
    6,858.52x = 9,464.84 × 3,833.50
  4. Step 4: Simplify right side
    6,858.52x = 36,283,464.14
  5. Step 5: Solve for x
    x = 36,283,464.14/6,858.52
  6. Step 6: Final answer
    x = 5,290.28

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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.