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Finding the Fourth Proportional to 4,620.92, 6,372.06 and 3,047

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Solution

The fourth proportional to 4,620.92, 6,372.06 and 3,047 is: 4,201.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,620.92 : 6,372.06 = 3,047 : x
  2. Step 2: Convert to fraction form
    4,620.92/6,372.06 = 3,047/x
  3. Step 3: Cross multiply
    4,620.92x = 6,372.06 × 3,047
  4. Step 4: Simplify right side
    4,620.92x = 19,415,666.82
  5. Step 5: Solve for x
    x = 19,415,666.82/4,620.92
  6. Step 6: Final answer
    x = 4,201.69

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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.