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Finding the Fourth Proportional to 3,588.38, 5,382.60 and 3,099.98

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Solution

The fourth proportional to 3,588.38, 5,382.60 and 3,099.98 is: 4,650.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.38 : 5,382.60 = 3,099.98 : x
  2. Step 2: Convert to fraction form
    3,588.38/5,382.60 = 3,099.98/x
  3. Step 3: Cross multiply
    3,588.38x = 5,382.60 × 3,099.98
  4. Step 4: Simplify right side
    3,588.38x = 16,685,952.35
  5. Step 5: Solve for x
    x = 16,685,952.35/3,588.38
  6. Step 6: Final answer
    x = 4,650.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.