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Finding the Fourth Proportional to 5,788.37, 8,682.68 and 4,007.68

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Solution

The fourth proportional to 5,788.37, 8,682.68 and 4,007.68 is: 6,011.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.37 : 8,682.68 = 4,007.68 : x
  2. Step 2: Convert to fraction form
    5,788.37/8,682.68 = 4,007.68/x
  3. Step 3: Cross multiply
    5,788.37x = 8,682.68 × 4,007.68
  4. Step 4: Simplify right side
    5,788.37x = 34,797,369.59
  5. Step 5: Solve for x
    x = 34,797,369.59/5,788.37
  6. Step 6: Final answer
    x = 6,011.60

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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.