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Finding the Fourth Proportional to 4,434.72, 6,644.76 and 1,965.84

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Solution

The fourth proportional to 4,434.72, 6,644.76 and 1,965.84 is: 2,945.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,434.72 : 6,644.76 = 1,965.84 : x
  2. Step 2: Convert to fraction form
    4,434.72/6,644.76 = 1,965.84/x
  3. Step 3: Cross multiply
    4,434.72x = 6,644.76 × 1,965.84
  4. Step 4: Simplify right side
    4,434.72x = 13,062,535.00
  5. Step 5: Solve for x
    x = 13,062,535.00/4,434.72
  6. Step 6: Final answer
    x = 2,945.52

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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.