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Finding the Fourth Proportional to 5,782, 7,979.16 and 3,298

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Solution

The fourth proportional to 5,782, 7,979.16 and 3,298 is: 4,551.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782 : 7,979.16 = 3,298 : x
  2. Step 2: Convert to fraction form
    5,782/7,979.16 = 3,298/x
  3. Step 3: Cross multiply
    5,782x = 7,979.16 × 3,298
  4. Step 4: Simplify right side
    5,782x = 26,315,269.68
  5. Step 5: Solve for x
    x = 26,315,269.68/5,782
  6. Step 6: Final answer
    x = 4,551.24

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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.