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Finding the Fourth Proportional to 5,654.70, 8,483.84 and 2,537.38

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Solution

The fourth proportional to 5,654.70, 8,483.84 and 2,537.38 is: 3,806.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.70 : 8,483.84 = 2,537.38 : x
  2. Step 2: Convert to fraction form
    5,654.70/8,483.84 = 2,537.38/x
  3. Step 3: Cross multiply
    5,654.70x = 8,483.84 × 2,537.38
  4. Step 4: Simplify right side
    5,654.70x = 21,526,725.94
  5. Step 5: Solve for x
    x = 21,526,725.94/5,654.70
  6. Step 6: Final answer
    x = 3,806.87

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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.