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Finding the Fourth Proportional to 4,785.40, 7,128.74 and 4,640.32

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Solution

The fourth proportional to 4,785.40, 7,128.74 and 4,640.32 is: 6,912.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,785.40 : 7,128.74 = 4,640.32 : x
  2. Step 2: Convert to fraction form
    4,785.40/7,128.74 = 4,640.32/x
  3. Step 3: Cross multiply
    4,785.40x = 7,128.74 × 4,640.32
  4. Step 4: Simplify right side
    4,785.40x = 33,079,634.80
  5. Step 5: Solve for x
    x = 33,079,634.80/4,785.40
  6. Step 6: Final answer
    x = 6,912.62

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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.