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Finding the Fourth Proportional to 3,489.36, 4,809.72 and 2,647.32

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Solution

The fourth proportional to 3,489.36, 4,809.72 and 2,647.32 is: 3,649.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.36 : 4,809.72 = 2,647.32 : x
  2. Step 2: Convert to fraction form
    3,489.36/4,809.72 = 2,647.32/x
  3. Step 3: Cross multiply
    3,489.36x = 4,809.72 × 2,647.32
  4. Step 4: Simplify right side
    3,489.36x = 12,732,867.95
  5. Step 5: Solve for x
    x = 12,732,867.95/3,489.36
  6. Step 6: Final answer
    x = 3,649.06

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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.