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Finding the Fourth Proportional to 6,405.12, 8,839.32 and 4,046.88

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Solution

The fourth proportional to 6,405.12, 8,839.32 and 4,046.88 is: 5,584.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.12 : 8,839.32 = 4,046.88 : x
  2. Step 2: Convert to fraction form
    6,405.12/8,839.32 = 4,046.88/x
  3. Step 3: Cross multiply
    6,405.12x = 8,839.32 × 4,046.88
  4. Step 4: Simplify right side
    6,405.12x = 35,771,667.32
  5. Step 5: Solve for x
    x = 35,771,667.32/6,405.12
  6. Step 6: Final answer
    x = 5,584.86

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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.