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Finding the Fourth Proportional to 3,842.67, 5,756.61 and 2,357.56

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Solution

The fourth proportional to 3,842.67, 5,756.61 and 2,357.56 is: 3,531.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.67 : 5,756.61 = 2,357.56 : x
  2. Step 2: Convert to fraction form
    3,842.67/5,756.61 = 2,357.56/x
  3. Step 3: Cross multiply
    3,842.67x = 5,756.61 × 2,357.56
  4. Step 4: Simplify right side
    3,842.67x = 13,571,553.47
  5. Step 5: Solve for x
    x = 13,571,553.47/3,842.67
  6. Step 6: Final answer
    x = 3,531.80

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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.