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Finding the Fourth Proportional to 4,887.41, 6,742.51 and 3,270.38

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Solution

The fourth proportional to 4,887.41, 6,742.51 and 3,270.38 is: 4,511.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,887.41 : 6,742.51 = 3,270.38 : x
  2. Step 2: Convert to fraction form
    4,887.41/6,742.51 = 3,270.38/x
  3. Step 3: Cross multiply
    4,887.41x = 6,742.51 × 3,270.38
  4. Step 4: Simplify right side
    4,887.41x = 22,050,527.97
  5. Step 5: Solve for x
    x = 22,050,527.97/4,887.41
  6. Step 6: Final answer
    x = 4,511.70

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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.