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Finding the Fourth Proportional to 8,522.58, 12,780.81 and 2,974.50

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Solution

The fourth proportional to 8,522.58, 12,780.81 and 2,974.50 is: 4,460.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522.58 : 12,780.81 = 2,974.50 : x
  2. Step 2: Convert to fraction form
    8,522.58/12,780.81 = 2,974.50/x
  3. Step 3: Cross multiply
    8,522.58x = 12,780.81 × 2,974.50
  4. Step 4: Simplify right side
    8,522.58x = 38,016,519.35
  5. Step 5: Solve for x
    x = 38,016,519.35/8,522.58
  6. Step 6: Final answer
    x = 4,460.68

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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.