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Finding the Fourth Proportional to 6,454.39, 8,905.97 and 3,802.32

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Solution

The fourth proportional to 6,454.39, 8,905.97 and 3,802.32 is: 5,246.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.39 : 8,905.97 = 3,802.32 : x
  2. Step 2: Convert to fraction form
    6,454.39/8,905.97 = 3,802.32/x
  3. Step 3: Cross multiply
    6,454.39x = 8,905.97 × 3,802.32
  4. Step 4: Simplify right side
    6,454.39x = 33,863,328.84
  5. Step 5: Solve for x
    x = 33,863,328.84/6,454.39
  6. Step 6: Final answer
    x = 5,246.56

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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.