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Finding the Fourth Proportional to 6,084.64, 8,396.81 and 3,396.07

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Solution

The fourth proportional to 6,084.64, 8,396.81 and 3,396.07 is: 4,686.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,084.64 : 8,396.81 = 3,396.07 : x
  2. Step 2: Convert to fraction form
    6,084.64/8,396.81 = 3,396.07/x
  3. Step 3: Cross multiply
    6,084.64x = 8,396.81 × 3,396.07
  4. Step 4: Simplify right side
    6,084.64x = 28,516,132.66
  5. Step 5: Solve for x
    x = 28,516,132.66/6,084.64
  6. Step 6: Final answer
    x = 4,686.58

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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.