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Finding the Fourth Proportional to 5,358.60, 8,057.10 and 4,513.80

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Solution

The fourth proportional to 5,358.60, 8,057.10 and 4,513.80 is: 6,786.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,358.60 : 8,057.10 = 4,513.80 : x
  2. Step 2: Convert to fraction form
    5,358.60/8,057.10 = 4,513.80/x
  3. Step 3: Cross multiply
    5,358.60x = 8,057.10 × 4,513.80
  4. Step 4: Simplify right side
    5,358.60x = 36,368,137.98
  5. Step 5: Solve for x
    x = 36,368,137.98/5,358.60
  6. Step 6: Final answer
    x = 6,786.87

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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.