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Finding the Fourth Proportional to 3,666.70, 5,492.85 and 2,500.30

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Solution

The fourth proportional to 3,666.70, 5,492.85 and 2,500.30 is: 3,745.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.70 : 5,492.85 = 2,500.30 : x
  2. Step 2: Convert to fraction form
    3,666.70/5,492.85 = 2,500.30/x
  3. Step 3: Cross multiply
    3,666.70x = 5,492.85 × 2,500.30
  4. Step 4: Simplify right side
    3,666.70x = 13,733,772.86
  5. Step 5: Solve for x
    x = 13,733,772.86/3,666.70
  6. Step 6: Final answer
    x = 3,745.54

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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.