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Finding the Fourth Proportional to 5,788.74, 8,683.14 and 2,090.28

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Solution

The fourth proportional to 5,788.74, 8,683.14 and 2,090.28 is: 3,135.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.74 : 8,683.14 = 2,090.28 : x
  2. Step 2: Convert to fraction form
    5,788.74/8,683.14 = 2,090.28/x
  3. Step 3: Cross multiply
    5,788.74x = 8,683.14 × 2,090.28
  4. Step 4: Simplify right side
    5,788.74x = 18,150,193.88
  5. Step 5: Solve for x
    x = 18,150,193.88/5,788.74
  6. Step 6: Final answer
    x = 3,135.43

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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.