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Finding the Fourth Proportional to 3,538.82, 4,884.59 and 2,835.57

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Solution

The fourth proportional to 3,538.82, 4,884.59 and 2,835.57 is: 3,913.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.82 : 4,884.59 = 2,835.57 : x
  2. Step 2: Convert to fraction form
    3,538.82/4,884.59 = 2,835.57/x
  3. Step 3: Cross multiply
    3,538.82x = 4,884.59 × 2,835.57
  4. Step 4: Simplify right side
    3,538.82x = 13,850,564.37
  5. Step 5: Solve for x
    x = 13,850,564.37/3,538.82
  6. Step 6: Final answer
    x = 3,913.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.