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Finding the Fourth Proportional to 6,334, 8,740.92 and 3,539.50

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Solution

The fourth proportional to 6,334, 8,740.92 and 3,539.50 is: 4,884.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334 : 8,740.92 = 3,539.50 : x
  2. Step 2: Convert to fraction form
    6,334/8,740.92 = 3,539.50/x
  3. Step 3: Cross multiply
    6,334x = 8,740.92 × 3,539.50
  4. Step 4: Simplify right side
    6,334x = 30,938,486.34
  5. Step 5: Solve for x
    x = 30,938,486.34/6,334
  6. Step 6: Final answer
    x = 4,884.51

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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.