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Finding the Fourth Proportional to 3,835.67, 5,754.26 and 1,495.58

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Solution

The fourth proportional to 3,835.67, 5,754.26 and 1,495.58 is: 2,243.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.67 : 5,754.26 = 1,495.58 : x
  2. Step 2: Convert to fraction form
    3,835.67/5,754.26 = 1,495.58/x
  3. Step 3: Cross multiply
    3,835.67x = 5,754.26 × 1,495.58
  4. Step 4: Simplify right side
    3,835.67x = 8,605,931.14
  5. Step 5: Solve for x
    x = 8,605,931.14/3,835.67
  6. Step 6: Final answer
    x = 2,243.66

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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.