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Finding the Fourth Proportional to 3,492.38, 5,237.64 and 1,299.90

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Solution

The fourth proportional to 3,492.38, 5,237.64 and 1,299.90 is: 1,949.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.38 : 5,237.64 = 1,299.90 : x
  2. Step 2: Convert to fraction form
    3,492.38/5,237.64 = 1,299.90/x
  3. Step 3: Cross multiply
    3,492.38x = 5,237.64 × 1,299.90
  4. Step 4: Simplify right side
    3,492.38x = 6,808,408.24
  5. Step 5: Solve for x
    x = 6,808,408.24/3,492.38
  6. Step 6: Final answer
    x = 1,949.51

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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.