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Finding the Fourth Proportional to 4,632.81, 6,951.99 and 4,255.95

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Solution

The fourth proportional to 4,632.81, 6,951.99 and 4,255.95 is: 6,386.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632.81 : 6,951.99 = 4,255.95 : x
  2. Step 2: Convert to fraction form
    4,632.81/6,951.99 = 4,255.95/x
  3. Step 3: Cross multiply
    4,632.81x = 6,951.99 × 4,255.95
  4. Step 4: Simplify right side
    4,632.81x = 29,587,313.86
  5. Step 5: Solve for x
    x = 29,587,313.86/4,632.81
  6. Step 6: Final answer
    x = 6,386.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.