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Finding the Fourth Proportional to 3,817.59, 5,726.10 and 1,185.02

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Solution

The fourth proportional to 3,817.59, 5,726.10 and 1,185.02 is: 1,777.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.59 : 5,726.10 = 1,185.02 : x
  2. Step 2: Convert to fraction form
    3,817.59/5,726.10 = 1,185.02/x
  3. Step 3: Cross multiply
    3,817.59x = 5,726.10 × 1,185.02
  4. Step 4: Simplify right side
    3,817.59x = 6,785,543.02
  5. Step 5: Solve for x
    x = 6,785,543.02/3,817.59
  6. Step 6: Final answer
    x = 1,777.44

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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.