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Finding the Fourth Proportional to 5,538.96, 8,309.67 and 1,643.13

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Solution

The fourth proportional to 5,538.96, 8,309.67 and 1,643.13 is: 2,465.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538.96 : 8,309.67 = 1,643.13 : x
  2. Step 2: Convert to fraction form
    5,538.96/8,309.67 = 1,643.13/x
  3. Step 3: Cross multiply
    5,538.96x = 8,309.67 × 1,643.13
  4. Step 4: Simplify right side
    5,538.96x = 13,653,868.07
  5. Step 5: Solve for x
    x = 13,653,868.07/5,538.96
  6. Step 6: Final answer
    x = 2,465.06

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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.