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Finding the Fourth Proportional to 4,909.06, 7,364.76 and 1,446.31

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Solution

The fourth proportional to 4,909.06, 7,364.76 and 1,446.31 is: 2,169.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.06 : 7,364.76 = 1,446.31 : x
  2. Step 2: Convert to fraction form
    4,909.06/7,364.76 = 1,446.31/x
  3. Step 3: Cross multiply
    4,909.06x = 7,364.76 × 1,446.31
  4. Step 4: Simplify right side
    4,909.06x = 10,651,726.04
  5. Step 5: Solve for x
    x = 10,651,726.04/4,909.06
  6. Step 6: Final answer
    x = 2,169.81

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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.