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Finding the Fourth Proportional to 6,356.38, 8,771.65 and 3,523.70

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Solution

The fourth proportional to 6,356.38, 8,771.65 and 3,523.70 is: 4,862.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.38 : 8,771.65 = 3,523.70 : x
  2. Step 2: Convert to fraction form
    6,356.38/8,771.65 = 3,523.70/x
  3. Step 3: Cross multiply
    6,356.38x = 8,771.65 × 3,523.70
  4. Step 4: Simplify right side
    6,356.38x = 30,908,676.22
  5. Step 5: Solve for x
    x = 30,908,676.22/6,356.38
  6. Step 6: Final answer
    x = 4,862.62

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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.