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Finding the Fourth Proportional to 6,346.42, 8,758.97 and 3,695.29

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Solution

The fourth proportional to 6,346.42, 8,758.97 and 3,695.29 is: 5,100.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.42 : 8,758.97 = 3,695.29 : x
  2. Step 2: Convert to fraction form
    6,346.42/8,758.97 = 3,695.29/x
  3. Step 3: Cross multiply
    6,346.42x = 8,758.97 × 3,695.29
  4. Step 4: Simplify right side
    6,346.42x = 32,366,907.73
  5. Step 5: Solve for x
    x = 32,366,907.73/6,346.42
  6. Step 6: Final answer
    x = 5,100.03

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