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Finding the Fourth Proportional to 6,354.83, 8,769.64 and 3,560.33

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Solution

The fourth proportional to 6,354.83, 8,769.64 and 3,560.33 is: 4,913.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.83 : 8,769.64 = 3,560.33 : x
  2. Step 2: Convert to fraction form
    6,354.83/8,769.64 = 3,560.33/x
  3. Step 3: Cross multiply
    6,354.83x = 8,769.64 × 3,560.33
  4. Step 4: Simplify right side
    6,354.83x = 31,222,812.38
  5. Step 5: Solve for x
    x = 31,222,812.38/6,354.83
  6. Step 6: Final answer
    x = 4,913.24

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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.