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Finding the Fourth Proportional to 6,377, 8,800.62 and 3,582.68

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Solution

The fourth proportional to 6,377, 8,800.62 and 3,582.68 is: 4,944.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377 : 8,800.62 = 3,582.68 : x
  2. Step 2: Convert to fraction form
    6,377/8,800.62 = 3,582.68/x
  3. Step 3: Cross multiply
    6,377x = 8,800.62 × 3,582.68
  4. Step 4: Simplify right side
    6,377x = 31,529,805.26
  5. Step 5: Solve for x
    x = 31,529,805.26/6,377
  6. Step 6: Final answer
    x = 4,944.30

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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.