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Finding the Fourth Proportional to 4,632.41, 6,379.88 and 4,002.74

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Solution

The fourth proportional to 4,632.41, 6,379.88 and 4,002.74 is: 5,512.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632.41 : 6,379.88 = 4,002.74 : x
  2. Step 2: Convert to fraction form
    4,632.41/6,379.88 = 4,002.74/x
  3. Step 3: Cross multiply
    4,632.41x = 6,379.88 × 4,002.74
  4. Step 4: Simplify right side
    4,632.41x = 25,536,978.98
  5. Step 5: Solve for x
    x = 25,536,978.98/4,632.41
  6. Step 6: Final answer
    x = 5,512.68

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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.