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Finding the Fourth Proportional to 4,639.16, 6,958.40 and 3,006

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Solution

The fourth proportional to 4,639.16, 6,958.40 and 3,006 is: 4,508.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,639.16 : 6,958.40 = 3,006 : x
  2. Step 2: Convert to fraction form
    4,639.16/6,958.40 = 3,006/x
  3. Step 3: Cross multiply
    4,639.16x = 6,958.40 × 3,006
  4. Step 4: Simplify right side
    4,639.16x = 20,916,935.37
  5. Step 5: Solve for x
    x = 20,916,935.37/4,639.16
  6. Step 6: Final answer
    x = 4,508.78

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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.