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Finding the Fourth Proportional to 5,781.64, 8,668.80 and 3,186.40

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Solution

The fourth proportional to 5,781.64, 8,668.80 and 3,186.40 is: 4,777.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.64 : 8,668.80 = 3,186.40 : x
  2. Step 2: Convert to fraction form
    5,781.64/8,668.80 = 3,186.40/x
  3. Step 3: Cross multiply
    5,781.64x = 8,668.80 × 3,186.40
  4. Step 4: Simplify right side
    5,781.64x = 27,622,264.32
  5. Step 5: Solve for x
    x = 27,622,264.32/5,781.64
  6. Step 6: Final answer
    x = 4,777.58

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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.