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Finding the Fourth Proportional to 6,153.86, 8,486.97 and 3,762.02

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Solution

The fourth proportional to 6,153.86, 8,486.97 and 3,762.02 is: 5,188.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,153.86 : 8,486.97 = 3,762.02 : x
  2. Step 2: Convert to fraction form
    6,153.86/8,486.97 = 3,762.02/x
  3. Step 3: Cross multiply
    6,153.86x = 8,486.97 × 3,762.02
  4. Step 4: Simplify right side
    6,153.86x = 31,928,150.88
  5. Step 5: Solve for x
    x = 31,928,150.88/6,153.86
  6. Step 6: Final answer
    x = 5,188.31

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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.