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Finding the Fourth Proportional to 6,186.38, 8,537.00 and 3,533.22

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Solution

The fourth proportional to 6,186.38, 8,537.00 and 3,533.22 is: 4,875.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.38 : 8,537.00 = 3,533.22 : x
  2. Step 2: Convert to fraction form
    6,186.38/8,537.00 = 3,533.22/x
  3. Step 3: Cross multiply
    6,186.38x = 8,537.00 × 3,533.22
  4. Step 4: Simplify right side
    6,186.38x = 30,163,081.47
  5. Step 5: Solve for x
    x = 30,163,081.47/6,186.38
  6. Step 6: Final answer
    x = 4,875.73

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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.