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Finding the Fourth Proportional to 6,430.26, 8,874.01 and 3,777.65

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Solution

The fourth proportional to 6,430.26, 8,874.01 and 3,777.65 is: 5,213.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.26 : 8,874.01 = 3,777.65 : x
  2. Step 2: Convert to fraction form
    6,430.26/8,874.01 = 3,777.65/x
  3. Step 3: Cross multiply
    6,430.26x = 8,874.01 × 3,777.65
  4. Step 4: Simplify right side
    6,430.26x = 33,522,864.23
  5. Step 5: Solve for x
    x = 33,522,864.23/6,430.26
  6. Step 6: Final answer
    x = 5,213.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.