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Finding the Fourth Proportional to 5,881.82, 8,824.04 and 1,986.13

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Solution

The fourth proportional to 5,881.82, 8,824.04 and 1,986.13 is: 2,979.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881.82 : 8,824.04 = 1,986.13 : x
  2. Step 2: Convert to fraction form
    5,881.82/8,824.04 = 1,986.13/x
  3. Step 3: Cross multiply
    5,881.82x = 8,824.04 × 1,986.13
  4. Step 4: Simplify right side
    5,881.82x = 17,525,690.57
  5. Step 5: Solve for x
    x = 17,525,690.57/5,881.82
  6. Step 6: Final answer
    x = 2,979.64

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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.