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Finding the Fourth Proportional to 6,354.63, 8,769.10 and 3,522

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Solution

The fourth proportional to 6,354.63, 8,769.10 and 3,522 is: 4,860.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.63 : 8,769.10 = 3,522 : x
  2. Step 2: Convert to fraction form
    6,354.63/8,769.10 = 3,522/x
  3. Step 3: Cross multiply
    6,354.63x = 8,769.10 × 3,522
  4. Step 4: Simplify right side
    6,354.63x = 30,884,770.20
  5. Step 5: Solve for x
    x = 30,884,770.20/6,354.63
  6. Step 6: Final answer
    x = 4,860.20

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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.