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Finding the Fourth Proportional to 4,564.19, 6,846.30 and 1,965.30

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Solution

The fourth proportional to 4,564.19, 6,846.30 and 1,965.30 is: 2,947.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.19 : 6,846.30 = 1,965.30 : x
  2. Step 2: Convert to fraction form
    4,564.19/6,846.30 = 1,965.30/x
  3. Step 3: Cross multiply
    4,564.19x = 6,846.30 × 1,965.30
  4. Step 4: Simplify right side
    4,564.19x = 13,455,033.39
  5. Step 5: Solve for x
    x = 13,455,033.39/4,564.19
  6. Step 6: Final answer
    x = 2,947.96

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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.