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Finding the Fourth Proportional to 5,788.16, 8,680.44 and 2,089.91

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Solution

The fourth proportional to 5,788.16, 8,680.44 and 2,089.91 is: 3,134.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.16 : 8,680.44 = 2,089.91 : x
  2. Step 2: Convert to fraction form
    5,788.16/8,680.44 = 2,089.91/x
  3. Step 3: Cross multiply
    5,788.16x = 8,680.44 × 2,089.91
  4. Step 4: Simplify right side
    5,788.16x = 18,141,338.36
  5. Step 5: Solve for x
    x = 18,141,338.36/5,788.16
  6. Step 6: Final answer
    x = 3,134.22

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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.