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Finding the Fourth Proportional to 5,538.86, 8,308.32 and 1,643.30

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Solution

The fourth proportional to 5,538.86, 8,308.32 and 1,643.30 is: 2,464.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538.86 : 8,308.32 = 1,643.30 : x
  2. Step 2: Convert to fraction form
    5,538.86/8,308.32 = 1,643.30/x
  3. Step 3: Cross multiply
    5,538.86x = 8,308.32 × 1,643.30
  4. Step 4: Simplify right side
    5,538.86x = 13,653,062.26
  5. Step 5: Solve for x
    x = 13,653,062.26/5,538.86
  6. Step 6: Final answer
    x = 2,464.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.