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Finding the Fourth Proportional to 4,817.81, 7,218.75 and 4,414.30

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Solution

The fourth proportional to 4,817.81, 7,218.75 and 4,414.30 is: 6,614.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,817.81 : 7,218.75 = 4,414.30 : x
  2. Step 2: Convert to fraction form
    4,817.81/7,218.75 = 4,414.30/x
  3. Step 3: Cross multiply
    4,817.81x = 7,218.75 × 4,414.30
  4. Step 4: Simplify right side
    4,817.81x = 31,865,726.63
  5. Step 5: Solve for x
    x = 31,865,726.63/4,817.81
  6. Step 6: Final answer
    x = 6,614.15

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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.