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Finding the Fourth Proportional to 5,188.79, 7,160.50 and 2,830.93

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Solution

The fourth proportional to 5,188.79, 7,160.50 and 2,830.93 is: 3,906.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.79 : 7,160.50 = 2,830.93 : x
  2. Step 2: Convert to fraction form
    5,188.79/7,160.50 = 2,830.93/x
  3. Step 3: Cross multiply
    5,188.79x = 7,160.50 × 2,830.93
  4. Step 4: Simplify right side
    5,188.79x = 20,270,874.27
  5. Step 5: Solve for x
    x = 20,270,874.27/5,188.79
  6. Step 6: Final answer
    x = 3,906.67

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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.