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Finding the Fourth Proportional to 5,153.60, 7,713.12 and 5,084.48

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Solution

The fourth proportional to 5,153.60, 7,713.12 and 5,084.48 is: 7,609.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.60 : 7,713.12 = 5,084.48 : x
  2. Step 2: Convert to fraction form
    5,153.60/7,713.12 = 5,084.48/x
  3. Step 3: Cross multiply
    5,153.60x = 7,713.12 × 5,084.48
  4. Step 4: Simplify right side
    5,153.60x = 39,217,204.38
  5. Step 5: Solve for x
    x = 39,217,204.38/5,153.60
  6. Step 6: Final answer
    x = 7,609.67

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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.