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Finding the Fourth Proportional to 4,205.75, 6,308.37 and 1,283.82

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Solution

The fourth proportional to 4,205.75, 6,308.37 and 1,283.82 is: 1,925.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.75 : 6,308.37 = 1,283.82 : x
  2. Step 2: Convert to fraction form
    4,205.75/6,308.37 = 1,283.82/x
  3. Step 3: Cross multiply
    4,205.75x = 6,308.37 × 1,283.82
  4. Step 4: Simplify right side
    4,205.75x = 8,098,811.57
  5. Step 5: Solve for x
    x = 8,098,811.57/4,205.75
  6. Step 6: Final answer
    x = 1,925.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.