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Finding the Fourth Proportional to 3,817.37, 5,726.23 and 1,043.98

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Solution

The fourth proportional to 3,817.37, 5,726.23 and 1,043.98 is: 1,566.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.37 : 5,726.23 = 1,043.98 : x
  2. Step 2: Convert to fraction form
    3,817.37/5,726.23 = 1,043.98/x
  3. Step 3: Cross multiply
    3,817.37x = 5,726.23 × 1,043.98
  4. Step 4: Simplify right side
    3,817.37x = 5,978,068.77
  5. Step 5: Solve for x
    x = 5,978,068.77/3,817.37
  6. Step 6: Final answer
    x = 1,566.02

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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.