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Finding the Fourth Proportional to 3,538.76, 5,310.56 and 1,230.26

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Solution

The fourth proportional to 3,538.76, 5,310.56 and 1,230.26 is: 1,846.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.76 : 5,310.56 = 1,230.26 : x
  2. Step 2: Convert to fraction form
    3,538.76/5,310.56 = 1,230.26/x
  3. Step 3: Cross multiply
    3,538.76x = 5,310.56 × 1,230.26
  4. Step 4: Simplify right side
    3,538.76x = 6,533,369.55
  5. Step 5: Solve for x
    x = 6,533,369.55/3,538.76
  6. Step 6: Final answer
    x = 1,846.23

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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.