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Finding the Fourth Proportional to 4,244.80, 6,364.89 and 1,471.25

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Solution

The fourth proportional to 4,244.80, 6,364.89 and 1,471.25 is: 2,206.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,244.80 : 6,364.89 = 1,471.25 : x
  2. Step 2: Convert to fraction form
    4,244.80/6,364.89 = 1,471.25/x
  3. Step 3: Cross multiply
    4,244.80x = 6,364.89 × 1,471.25
  4. Step 4: Simplify right side
    4,244.80x = 9,364,344.41
  5. Step 5: Solve for x
    x = 9,364,344.41/4,244.80
  6. Step 6: Final answer
    x = 2,206.07

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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.