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Finding the Fourth Proportional to 6,579.84, 9,080.32 and 3,784.64

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Solution

The fourth proportional to 6,579.84, 9,080.32 and 3,784.64 is: 5,222.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,579.84 : 9,080.32 = 3,784.64 : x
  2. Step 2: Convert to fraction form
    6,579.84/9,080.32 = 3,784.64/x
  3. Step 3: Cross multiply
    6,579.84x = 9,080.32 × 3,784.64
  4. Step 4: Simplify right side
    6,579.84x = 34,365,742.28
  5. Step 5: Solve for x
    x = 34,365,742.28/6,579.84
  6. Step 6: Final answer
    x = 5,222.88

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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.