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Finding the Fourth Proportional to 6,439.64, 8,891.72 and 4,945.20

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Solution

The fourth proportional to 6,439.64, 8,891.72 and 4,945.20 is: 6,828.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439.64 : 8,891.72 = 4,945.20 : x
  2. Step 2: Convert to fraction form
    6,439.64/8,891.72 = 4,945.20/x
  3. Step 3: Cross multiply
    6,439.64x = 8,891.72 × 4,945.20
  4. Step 4: Simplify right side
    6,439.64x = 43,971,333.74
  5. Step 5: Solve for x
    x = 43,971,333.74/6,439.64
  6. Step 6: Final answer
    x = 6,828.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.