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Finding the Fourth Proportional to 3,492.81, 5,211.99 and 3,182.31

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Solution

The fourth proportional to 3,492.81, 5,211.99 and 3,182.31 is: 4,748.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.81 : 5,211.99 = 3,182.31 : x
  2. Step 2: Convert to fraction form
    3,492.81/5,211.99 = 3,182.31/x
  3. Step 3: Cross multiply
    3,492.81x = 5,211.99 × 3,182.31
  4. Step 4: Simplify right side
    3,492.81x = 16,586,167.90
  5. Step 5: Solve for x
    x = 16,586,167.90/3,492.81
  6. Step 6: Final answer
    x = 4,748.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.