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Finding the Fourth Proportional to 3,665.86, 5,495.70 and 2,492.57

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Solution

The fourth proportional to 3,665.86, 5,495.70 and 2,492.57 is: 3,736.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.86 : 5,495.70 = 2,492.57 : x
  2. Step 2: Convert to fraction form
    3,665.86/5,495.70 = 2,492.57/x
  3. Step 3: Cross multiply
    3,665.86x = 5,495.70 × 2,492.57
  4. Step 4: Simplify right side
    3,665.86x = 13,698,426.01
  5. Step 5: Solve for x
    x = 13,698,426.01/3,665.86
  6. Step 6: Final answer
    x = 3,736.76

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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.