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Finding the Fourth Proportional to 5,221.03, 7,841.27 and 4,786.87

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Solution

The fourth proportional to 5,221.03, 7,841.27 and 4,786.87 is: 7,189.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.03 : 7,841.27 = 4,786.87 : x
  2. Step 2: Convert to fraction form
    5,221.03/7,841.27 = 4,786.87/x
  3. Step 3: Cross multiply
    5,221.03x = 7,841.27 × 4,786.87
  4. Step 4: Simplify right side
    5,221.03x = 37,535,116.19
  5. Step 5: Solve for x
    x = 37,535,116.19/5,221.03
  6. Step 6: Final answer
    x = 7,189.22

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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.