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Finding the Fourth Proportional to 3,665.56, 5,492.40 and 2,205.94

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Solution

The fourth proportional to 3,665.56, 5,492.40 and 2,205.94 is: 3,305.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.56 : 5,492.40 = 2,205.94 : x
  2. Step 2: Convert to fraction form
    3,665.56/5,492.40 = 2,205.94/x
  3. Step 3: Cross multiply
    3,665.56x = 5,492.40 × 2,205.94
  4. Step 4: Simplify right side
    3,665.56x = 12,115,904.86
  5. Step 5: Solve for x
    x = 12,115,904.86/3,665.56
  6. Step 6: Final answer
    x = 3,305.34

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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.