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Finding the Fourth Proportional to 3,647.82, 5,461.40 and 2,835.59

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Solution

The fourth proportional to 3,647.82, 5,461.40 and 2,835.59 is: 4,245.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.82 : 5,461.40 = 2,835.59 : x
  2. Step 2: Convert to fraction form
    3,647.82/5,461.40 = 2,835.59/x
  3. Step 3: Cross multiply
    3,647.82x = 5,461.40 × 2,835.59
  4. Step 4: Simplify right side
    3,647.82x = 15,486,290.70
  5. Step 5: Solve for x
    x = 15,486,290.70/3,647.82
  6. Step 6: Final answer
    x = 4,245.35

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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.