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Finding the Fourth Proportional to 4,584.32, 6,331.04 and 3,184.64

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Solution

The fourth proportional to 4,584.32, 6,331.04 and 3,184.64 is: 4,398.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,584.32 : 6,331.04 = 3,184.64 : x
  2. Step 2: Convert to fraction form
    4,584.32/6,331.04 = 3,184.64/x
  3. Step 3: Cross multiply
    4,584.32x = 6,331.04 × 3,184.64
  4. Step 4: Simplify right side
    4,584.32x = 20,162,083.23
  5. Step 5: Solve for x
    x = 20,162,083.23/4,584.32
  6. Step 6: Final answer
    x = 4,398.05

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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.