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Finding the Fourth Proportional to 4,535.57, 6,805.97 and 1,902.84

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Solution

The fourth proportional to 4,535.57, 6,805.97 and 1,902.84 is: 2,855.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535.57 : 6,805.97 = 1,902.84 : x
  2. Step 2: Convert to fraction form
    4,535.57/6,805.97 = 1,902.84/x
  3. Step 3: Cross multiply
    4,535.57x = 6,805.97 × 1,902.84
  4. Step 4: Simplify right side
    4,535.57x = 12,950,654.76
  5. Step 5: Solve for x
    x = 12,950,654.76/4,535.57
  6. Step 6: Final answer
    x = 2,855.36

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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.