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Finding the Fourth Proportional to 4,293.50, 6,435.86 and 2,906.98

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Solution

The fourth proportional to 4,293.50, 6,435.86 and 2,906.98 is: 4,357.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,293.50 : 6,435.86 = 2,906.98 : x
  2. Step 2: Convert to fraction form
    4,293.50/6,435.86 = 2,906.98/x
  3. Step 3: Cross multiply
    4,293.50x = 6,435.86 × 2,906.98
  4. Step 4: Simplify right side
    4,293.50x = 18,708,885.68
  5. Step 5: Solve for x
    x = 18,708,885.68/4,293.50
  6. Step 6: Final answer
    x = 4,357.50

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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.