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Finding the Fourth Proportional to 8,605.98, 12,909.45 and 2,449.50

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Solution

The fourth proportional to 8,605.98, 12,909.45 and 2,449.50 is: 3,674.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,605.98 : 12,909.45 = 2,449.50 : x
  2. Step 2: Convert to fraction form
    8,605.98/12,909.45 = 2,449.50/x
  3. Step 3: Cross multiply
    8,605.98x = 12,909.45 × 2,449.50
  4. Step 4: Simplify right side
    8,605.98x = 31,621,697.78
  5. Step 5: Solve for x
    x = 31,621,697.78/8,605.98
  6. Step 6: Final answer
    x = 3,674.39

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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.