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Finding the Fourth Proportional to 4,625.28, 6,962.67 and 4,149

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Solution

The fourth proportional to 4,625.28, 6,962.67 and 4,149 is: 6,245.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,625.28 : 6,962.67 = 4,149 : x
  2. Step 2: Convert to fraction form
    4,625.28/6,962.67 = 4,149/x
  3. Step 3: Cross multiply
    4,625.28x = 6,962.67 × 4,149
  4. Step 4: Simplify right side
    4,625.28x = 28,888,117.83
  5. Step 5: Solve for x
    x = 28,888,117.83/4,625.28
  6. Step 6: Final answer
    x = 6,245.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.