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Finding the Fourth Proportional to 5,984.93, 8,979.30 and 1,825.74

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Solution

The fourth proportional to 5,984.93, 8,979.30 and 1,825.74 is: 2,739.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.93 : 8,979.30 = 1,825.74 : x
  2. Step 2: Convert to fraction form
    5,984.93/8,979.30 = 1,825.74/x
  3. Step 3: Cross multiply
    5,984.93x = 8,979.30 × 1,825.74
  4. Step 4: Simplify right side
    5,984.93x = 16,393,867.18
  5. Step 5: Solve for x
    x = 16,393,867.18/5,984.93
  6. Step 6: Final answer
    x = 2,739.19

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Why These Related Problems?

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