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Finding the Fourth Proportional to 5,890.86, 8,836.09 and 1,508.36

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Solution

The fourth proportional to 5,890.86, 8,836.09 and 1,508.36 is: 2,262.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.86 : 8,836.09 = 1,508.36 : x
  2. Step 2: Convert to fraction form
    5,890.86/8,836.09 = 1,508.36/x
  3. Step 3: Cross multiply
    5,890.86x = 8,836.09 × 1,508.36
  4. Step 4: Simplify right side
    5,890.86x = 13,327,956.76
  5. Step 5: Solve for x
    x = 13,327,956.76/5,890.86
  6. Step 6: Final answer
    x = 2,262.48

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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.