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Finding the Fourth Proportional to 4,346.56, 6,516.33 and 1,747

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Solution

The fourth proportional to 4,346.56, 6,516.33 and 1,747 is: 2,619.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,346.56 : 6,516.33 = 1,747 : x
  2. Step 2: Convert to fraction form
    4,346.56/6,516.33 = 1,747/x
  3. Step 3: Cross multiply
    4,346.56x = 6,516.33 × 1,747
  4. Step 4: Simplify right side
    4,346.56x = 11,384,028.51
  5. Step 5: Solve for x
    x = 11,384,028.51/4,346.56
  6. Step 6: Final answer
    x = 2,619.09

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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.