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Finding the Fourth Proportional to 6,451.86, 8,904.58 and 3,620.38

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Solution

The fourth proportional to 6,451.86, 8,904.58 and 3,620.38 is: 4,996.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.86 : 8,904.58 = 3,620.38 : x
  2. Step 2: Convert to fraction form
    6,451.86/8,904.58 = 3,620.38/x
  3. Step 3: Cross multiply
    6,451.86x = 8,904.58 × 3,620.38
  4. Step 4: Simplify right side
    6,451.86x = 32,237,963.34
  5. Step 5: Solve for x
    x = 32,237,963.34/6,451.86
  6. Step 6: Final answer
    x = 4,996.69

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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.