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Finding the Fourth Proportional to 5,084.34, 7,638.18 and 3,607.21

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Solution

The fourth proportional to 5,084.34, 7,638.18 and 3,607.21 is: 5,419.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,084.34 : 7,638.18 = 3,607.21 : x
  2. Step 2: Convert to fraction form
    5,084.34/7,638.18 = 3,607.21/x
  3. Step 3: Cross multiply
    5,084.34x = 7,638.18 × 3,607.21
  4. Step 4: Simplify right side
    5,084.34x = 27,552,492.62
  5. Step 5: Solve for x
    x = 27,552,492.62/5,084.34
  6. Step 6: Final answer
    x = 5,419.09

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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.