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Finding the Fourth Proportional to 4,205.66, 6,308.55 and 1,432.97

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Solution

The fourth proportional to 4,205.66, 6,308.55 and 1,432.97 is: 2,149.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.66 : 6,308.55 = 1,432.97 : x
  2. Step 2: Convert to fraction form
    4,205.66/6,308.55 = 1,432.97/x
  3. Step 3: Cross multiply
    4,205.66x = 6,308.55 × 1,432.97
  4. Step 4: Simplify right side
    4,205.66x = 9,039,962.89
  5. Step 5: Solve for x
    x = 9,039,962.89/4,205.66
  6. Step 6: Final answer
    x = 2,149.48

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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.