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Finding the Fourth Proportional to 5,357.67, 8,036.16 and 1,659.59

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Solution

The fourth proportional to 5,357.67, 8,036.16 and 1,659.59 is: 2,489.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357.67 : 8,036.16 = 1,659.59 : x
  2. Step 2: Convert to fraction form
    5,357.67/8,036.16 = 1,659.59/x
  3. Step 3: Cross multiply
    5,357.67x = 8,036.16 × 1,659.59
  4. Step 4: Simplify right side
    5,357.67x = 13,336,769.04
  5. Step 5: Solve for x
    x = 13,336,769.04/5,357.67
  6. Step 6: Final answer
    x = 2,489.29

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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.