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Finding the Fourth Proportional to 6,186.56, 8,537.54 and 3,392

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Solution

The fourth proportional to 6,186.56, 8,537.54 and 3,392 is: 4,681.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.56 : 8,537.54 = 3,392 : x
  2. Step 2: Convert to fraction form
    6,186.56/8,537.54 = 3,392/x
  3. Step 3: Cross multiply
    6,186.56x = 8,537.54 × 3,392
  4. Step 4: Simplify right side
    6,186.56x = 28,959,335.68
  5. Step 5: Solve for x
    x = 28,959,335.68/6,186.56
  6. Step 6: Final answer
    x = 4,681.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.