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Finding the Fourth Proportional to 6,084.21, 8,394.62 and 3,564.96

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Solution

The fourth proportional to 6,084.21, 8,394.62 and 3,564.96 is: 4,918.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,084.21 : 8,394.62 = 3,564.96 : x
  2. Step 2: Convert to fraction form
    6,084.21/8,394.62 = 3,564.96/x
  3. Step 3: Cross multiply
    6,084.21x = 8,394.62 × 3,564.96
  4. Step 4: Simplify right side
    6,084.21x = 29,926,526.09
  5. Step 5: Solve for x
    x = 29,926,526.09/6,084.21
  6. Step 6: Final answer
    x = 4,918.72

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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.