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Finding the Fourth Proportional to 3,205.72, 4,785.62 and 3,063.88

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Solution

The fourth proportional to 3,205.72, 4,785.62 and 3,063.88 is: 4,573.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.72 : 4,785.62 = 3,063.88 : x
  2. Step 2: Convert to fraction form
    3,205.72/4,785.62 = 3,063.88/x
  3. Step 3: Cross multiply
    3,205.72x = 4,785.62 × 3,063.88
  4. Step 4: Simplify right side
    3,205.72x = 14,662,565.41
  5. Step 5: Solve for x
    x = 14,662,565.41/3,205.72
  6. Step 6: Final answer
    x = 4,573.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.