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Finding the Fourth Proportional to 3,586.38, 5,379.60 and 3,097.98

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Solution

The fourth proportional to 3,586.38, 5,379.60 and 3,097.98 is: 4,647.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.38 : 5,379.60 = 3,097.98 : x
  2. Step 2: Convert to fraction form
    3,586.38/5,379.60 = 3,097.98/x
  3. Step 3: Cross multiply
    3,586.38x = 5,379.60 × 3,097.98
  4. Step 4: Simplify right side
    3,586.38x = 16,665,893.21
  5. Step 5: Solve for x
    x = 16,665,893.21/3,586.38
  6. Step 6: Final answer
    x = 4,647.00

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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.