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Finding the Fourth Proportional to 6,231, 8,597.94 and 3,577.92

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Solution

The fourth proportional to 6,231, 8,597.94 and 3,577.92 is: 4,937.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,231 : 8,597.94 = 3,577.92 : x
  2. Step 2: Convert to fraction form
    6,231/8,597.94 = 3,577.92/x
  3. Step 3: Cross multiply
    6,231x = 8,597.94 × 3,577.92
  4. Step 4: Simplify right side
    6,231x = 30,762,741.48
  5. Step 5: Solve for x
    x = 30,762,741.48/6,231
  6. Step 6: Final answer
    x = 4,937.05

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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.