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Finding the Fourth Proportional to 5,788.62, 8,686.71 and 2,090.84

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Solution

The fourth proportional to 5,788.62, 8,686.71 and 2,090.84 is: 3,137.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.62 : 8,686.71 = 2,090.84 : x
  2. Step 2: Convert to fraction form
    5,788.62/8,686.71 = 2,090.84/x
  3. Step 3: Cross multiply
    5,788.62x = 8,686.71 × 2,090.84
  4. Step 4: Simplify right side
    5,788.62x = 18,162,477.30
  5. Step 5: Solve for x
    x = 18,162,477.30/5,788.62
  6. Step 6: Final answer
    x = 3,137.62

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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.