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Finding the Fourth Proportional to 6,446.70, 8,896.32 and 4,204.32

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Solution

The fourth proportional to 6,446.70, 8,896.32 and 4,204.32 is: 5,801.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.70 : 8,896.32 = 4,204.32 : x
  2. Step 2: Convert to fraction form
    6,446.70/8,896.32 = 4,204.32/x
  3. Step 3: Cross multiply
    6,446.70x = 8,896.32 × 4,204.32
  4. Step 4: Simplify right side
    6,446.70x = 37,402,976.10
  5. Step 5: Solve for x
    x = 37,402,976.10/6,446.70
  6. Step 6: Final answer
    x = 5,801.88

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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.