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Finding the Fourth Proportional to 4,205.91, 6,308.79 and 1,432.54

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Solution

The fourth proportional to 4,205.91, 6,308.79 and 1,432.54 is: 2,148.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.91 : 6,308.79 = 1,432.54 : x
  2. Step 2: Convert to fraction form
    4,205.91/6,308.79 = 1,432.54/x
  3. Step 3: Cross multiply
    4,205.91x = 6,308.79 × 1,432.54
  4. Step 4: Simplify right side
    4,205.91x = 9,037,594.03
  5. Step 5: Solve for x
    x = 9,037,594.03/4,205.91
  6. Step 6: Final answer
    x = 2,148.78

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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.