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Finding the Fourth Proportional to 3,729.57, 5,592.70 and 1,263.75

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Solution

The fourth proportional to 3,729.57, 5,592.70 and 1,263.75 is: 1,895.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.57 : 5,592.70 = 1,263.75 : x
  2. Step 2: Convert to fraction form
    3,729.57/5,592.70 = 1,263.75/x
  3. Step 3: Cross multiply
    3,729.57x = 5,592.70 × 1,263.75
  4. Step 4: Simplify right side
    3,729.57x = 7,067,774.63
  5. Step 5: Solve for x
    x = 7,067,774.63/3,729.57
  6. Step 6: Final answer
    x = 1,895.06

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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.