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Finding the Fourth Proportional to 8,546.50, 12,820.23 and 2,390.98

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Solution

The fourth proportional to 8,546.50, 12,820.23 and 2,390.98 is: 3,586.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.50 : 12,820.23 = 2,390.98 : x
  2. Step 2: Convert to fraction form
    8,546.50/12,820.23 = 2,390.98/x
  3. Step 3: Cross multiply
    8,546.50x = 12,820.23 × 2,390.98
  4. Step 4: Simplify right side
    8,546.50x = 30,652,913.53
  5. Step 5: Solve for x
    x = 30,652,913.53/8,546.50
  6. Step 6: Final answer
    x = 3,586.60

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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.