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Finding the Fourth Proportional to 4,938.86, 7,410.29 and 2,164.07

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Solution

The fourth proportional to 4,938.86, 7,410.29 and 2,164.07 is: 3,246.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938.86 : 7,410.29 = 2,164.07 : x
  2. Step 2: Convert to fraction form
    4,938.86/7,410.29 = 2,164.07/x
  3. Step 3: Cross multiply
    4,938.86x = 7,410.29 × 2,164.07
  4. Step 4: Simplify right side
    4,938.86x = 16,036,338.41
  5. Step 5: Solve for x
    x = 16,036,338.41/4,938.86
  6. Step 6: Final answer
    x = 3,246.97

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Why These Related Problems?

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