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Finding the Fourth Proportional to 4,433.71, 6,650.49 and 1,146.79

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Solution

The fourth proportional to 4,433.71, 6,650.49 and 1,146.79 is: 1,720.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,433.71 : 6,650.49 = 1,146.79 : x
  2. Step 2: Convert to fraction form
    4,433.71/6,650.49 = 1,146.79/x
  3. Step 3: Cross multiply
    4,433.71x = 6,650.49 × 1,146.79
  4. Step 4: Simplify right side
    4,433.71x = 7,626,715.43
  5. Step 5: Solve for x
    x = 7,626,715.43/4,433.71
  6. Step 6: Final answer
    x = 1,720.17

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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.