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Finding the Fourth Proportional to 3,835.93, 5,748.17 and 1,984.57

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Solution

The fourth proportional to 3,835.93, 5,748.17 and 1,984.57 is: 2,973.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.93 : 5,748.17 = 1,984.57 : x
  2. Step 2: Convert to fraction form
    3,835.93/5,748.17 = 1,984.57/x
  3. Step 3: Cross multiply
    3,835.93x = 5,748.17 × 1,984.57
  4. Step 4: Simplify right side
    3,835.93x = 11,407,607.07
  5. Step 5: Solve for x
    x = 11,407,607.07/3,835.93
  6. Step 6: Final answer
    x = 2,973.89

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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.