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Finding the Fourth Proportional to 8,098.98, 12,148.50 and 3,419.06

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Solution

The fourth proportional to 8,098.98, 12,148.50 and 3,419.06 is: 5,128.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.98 : 12,148.50 = 3,419.06 : x
  2. Step 2: Convert to fraction form
    8,098.98/12,148.50 = 3,419.06/x
  3. Step 3: Cross multiply
    8,098.98x = 12,148.50 × 3,419.06
  4. Step 4: Simplify right side
    8,098.98x = 41,536,450.41
  5. Step 5: Solve for x
    x = 41,536,450.41/8,098.98
  6. Step 6: Final answer
    x = 5,128.60

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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.