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Finding the Fourth Proportional to 4,616.64, 6,921 and 3,151.44

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Solution

The fourth proportional to 4,616.64, 6,921 and 3,151.44 is: 4,724.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.64 : 6,921 = 3,151.44 : x
  2. Step 2: Convert to fraction form
    4,616.64/6,921 = 3,151.44/x
  3. Step 3: Cross multiply
    4,616.64x = 6,921 × 3,151.44
  4. Step 4: Simplify right side
    4,616.64x = 21,811,116.24
  5. Step 5: Solve for x
    x = 21,811,116.24/4,616.64
  6. Step 6: Final answer
    x = 4,724.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.