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Finding the Fourth Proportional to 5,489.96, 8,236.16 and 1,594.08

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Solution

The fourth proportional to 5,489.96, 8,236.16 and 1,594.08 is: 2,391.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.96 : 8,236.16 = 1,594.08 : x
  2. Step 2: Convert to fraction form
    5,489.96/8,236.16 = 1,594.08/x
  3. Step 3: Cross multiply
    5,489.96x = 8,236.16 × 1,594.08
  4. Step 4: Simplify right side
    5,489.96x = 13,129,097.93
  5. Step 5: Solve for x
    x = 13,129,097.93/5,489.96
  6. Step 6: Final answer
    x = 2,391.47

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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.