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Finding the Fourth Proportional to 5,765.45, 8,649 and 2,804.06

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Solution

The fourth proportional to 5,765.45, 8,649 and 2,804.06 is: 4,206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.45 : 8,649 = 2,804.06 : x
  2. Step 2: Convert to fraction form
    5,765.45/8,649 = 2,804.06/x
  3. Step 3: Cross multiply
    5,765.45x = 8,649 × 2,804.06
  4. Step 4: Simplify right side
    5,765.45x = 24,252,336.56
  5. Step 5: Solve for x
    x = 24,252,336.56/5,765.45
  6. Step 6: Final answer
    x = 4,206.50

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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.