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Finding the Fourth Proportional to 4,473.42, 6,163.16 and 3,461.64

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Solution

The fourth proportional to 4,473.42, 6,163.16 and 3,461.64 is: 4,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,473.42 : 6,163.16 = 3,461.64 : x
  2. Step 2: Convert to fraction form
    4,473.42/6,163.16 = 3,461.64/x
  3. Step 3: Cross multiply
    4,473.42x = 6,163.16 × 3,461.64
  4. Step 4: Simplify right side
    4,473.42x = 21,334,623.87
  5. Step 5: Solve for x
    x = 21,334,623.87/4,473.42
  6. Step 6: Final answer
    x = 4,769.20

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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.