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Finding the Fourth Proportional to 3,817.80, 5,726.70 and 3,513.24

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Solution

The fourth proportional to 3,817.80, 5,726.70 and 3,513.24 is: 5,269.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.80 : 5,726.70 = 3,513.24 : x
  2. Step 2: Convert to fraction form
    3,817.80/5,726.70 = 3,513.24/x
  3. Step 3: Cross multiply
    3,817.80x = 5,726.70 × 3,513.24
  4. Step 4: Simplify right side
    3,817.80x = 20,119,271.51
  5. Step 5: Solve for x
    x = 20,119,271.51/3,817.80
  6. Step 6: Final answer
    x = 5,269.86

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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.