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Finding the Fourth Proportional to 5,876.49, 8,816.04 and 1,716.86

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Solution

The fourth proportional to 5,876.49, 8,816.04 and 1,716.86 is: 2,575.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.49 : 8,816.04 = 1,716.86 : x
  2. Step 2: Convert to fraction form
    5,876.49/8,816.04 = 1,716.86/x
  3. Step 3: Cross multiply
    5,876.49x = 8,816.04 × 1,716.86
  4. Step 4: Simplify right side
    5,876.49x = 15,135,928.47
  5. Step 5: Solve for x
    x = 15,135,928.47/5,876.49
  6. Step 6: Final answer
    x = 2,575.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.