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Finding the Fourth Proportional to 6,304.34, 8,699.92 and 3,471.65

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Solution

The fourth proportional to 6,304.34, 8,699.92 and 3,471.65 is: 4,790.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.34 : 8,699.92 = 3,471.65 : x
  2. Step 2: Convert to fraction form
    6,304.34/8,699.92 = 3,471.65/x
  3. Step 3: Cross multiply
    6,304.34x = 8,699.92 × 3,471.65
  4. Step 4: Simplify right side
    6,304.34x = 30,203,059.91
  5. Step 5: Solve for x
    x = 30,203,059.91/6,304.34
  6. Step 6: Final answer
    x = 4,790.84

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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.