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Finding the Fourth Proportional to 5,492.98, 8,236.68 and 1,792.84

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Solution

The fourth proportional to 5,492.98, 8,236.68 and 1,792.84 is: 2,688.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.98 : 8,236.68 = 1,792.84 : x
  2. Step 2: Convert to fraction form
    5,492.98/8,236.68 = 1,792.84/x
  3. Step 3: Cross multiply
    5,492.98x = 8,236.68 × 1,792.84
  4. Step 4: Simplify right side
    5,492.98x = 14,767,049.37
  5. Step 5: Solve for x
    x = 14,767,049.37/5,492.98
  6. Step 6: Final answer
    x = 2,688.35

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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.