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Finding the Fourth Proportional to 5,548.32, 7,643.68 and 3,866.68

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Solution

The fourth proportional to 5,548.32, 7,643.68 and 3,866.68 is: 5,326.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,548.32 : 7,643.68 = 3,866.68 : x
  2. Step 2: Convert to fraction form
    5,548.32/7,643.68 = 3,866.68/x
  3. Step 3: Cross multiply
    5,548.32x = 7,643.68 × 3,866.68
  4. Step 4: Simplify right side
    5,548.32x = 29,555,664.58
  5. Step 5: Solve for x
    x = 29,555,664.58/5,548.32
  6. Step 6: Final answer
    x = 5,326.96

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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.