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Finding the Fourth Proportional to 8,492.58, 12,738.24 and 2,649

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Solution

The fourth proportional to 8,492.58, 12,738.24 and 2,649 is: 3,973.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.58 : 12,738.24 = 2,649 : x
  2. Step 2: Convert to fraction form
    8,492.58/12,738.24 = 2,649/x
  3. Step 3: Cross multiply
    8,492.58x = 12,738.24 × 2,649
  4. Step 4: Simplify right side
    8,492.58x = 33,743,597.76
  5. Step 5: Solve for x
    x = 33,743,597.76/8,492.58
  6. Step 6: Final answer
    x = 3,973.30

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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.