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Finding the Fourth Proportional to 3,755.90, 5,633.83 and 1,534.26

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Solution

The fourth proportional to 3,755.90, 5,633.83 and 1,534.26 is: 2,301.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.90 : 5,633.83 = 1,534.26 : x
  2. Step 2: Convert to fraction form
    3,755.90/5,633.83 = 1,534.26/x
  3. Step 3: Cross multiply
    3,755.90x = 5,633.83 × 1,534.26
  4. Step 4: Simplify right side
    3,755.90x = 8,643,783.06
  5. Step 5: Solve for x
    x = 8,643,783.06/3,755.90
  6. Step 6: Final answer
    x = 2,301.39

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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.