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Finding the Fourth Proportional to 6,424.86, 8,866.74 and 3,630.54

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Solution

The fourth proportional to 6,424.86, 8,866.74 and 3,630.54 is: 5,010.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.86 : 8,866.74 = 3,630.54 : x
  2. Step 2: Convert to fraction form
    6,424.86/8,866.74 = 3,630.54/x
  3. Step 3: Cross multiply
    6,424.86x = 8,866.74 × 3,630.54
  4. Step 4: Simplify right side
    6,424.86x = 32,191,054.24
  5. Step 5: Solve for x
    x = 32,191,054.24/6,424.86
  6. Step 6: Final answer
    x = 5,010.39

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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.