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Finding the Fourth Proportional to 6,154.67, 8,492.06 and 3,635.06

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Solution

The fourth proportional to 6,154.67, 8,492.06 and 3,635.06 is: 5,015.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.67 : 8,492.06 = 3,635.06 : x
  2. Step 2: Convert to fraction form
    6,154.67/8,492.06 = 3,635.06/x
  3. Step 3: Cross multiply
    6,154.67x = 8,492.06 × 3,635.06
  4. Step 4: Simplify right side
    6,154.67x = 30,869,105.16
  5. Step 5: Solve for x
    x = 30,869,105.16/6,154.67
  6. Step 6: Final answer
    x = 5,015.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.