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Finding the Fourth Proportional to 8,519.90, 12,779.91 and 2,973.22

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Solution

The fourth proportional to 8,519.90, 12,779.91 and 2,973.22 is: 4,459.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,519.90 : 12,779.91 = 2,973.22 : x
  2. Step 2: Convert to fraction form
    8,519.90/12,779.91 = 2,973.22/x
  3. Step 3: Cross multiply
    8,519.90x = 12,779.91 × 2,973.22
  4. Step 4: Simplify right side
    8,519.90x = 37,997,523.95
  5. Step 5: Solve for x
    x = 37,997,523.95/8,519.90
  6. Step 6: Final answer
    x = 4,459.86

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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.