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Finding the Fourth Proportional to 3,220.64, 4,796.16 and 3,184.19

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Solution

The fourth proportional to 3,220.64, 4,796.16 and 3,184.19 is: 4,741.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.64 : 4,796.16 = 3,184.19 : x
  2. Step 2: Convert to fraction form
    3,220.64/4,796.16 = 3,184.19/x
  3. Step 3: Cross multiply
    3,220.64x = 4,796.16 × 3,184.19
  4. Step 4: Simplify right side
    3,220.64x = 15,271,884.71
  5. Step 5: Solve for x
    x = 15,271,884.71/3,220.64
  6. Step 6: Final answer
    x = 4,741.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.