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Finding the Fourth Proportional to 4,939.96, 7,407.76 and 2,475.96

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Solution

The fourth proportional to 4,939.96, 7,407.76 and 2,475.96 is: 3,712.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,939.96 : 7,407.76 = 2,475.96 : x
  2. Step 2: Convert to fraction form
    4,939.96/7,407.76 = 2,475.96/x
  3. Step 3: Cross multiply
    4,939.96x = 7,407.76 × 2,475.96
  4. Step 4: Simplify right side
    4,939.96x = 18,341,317.45
  5. Step 5: Solve for x
    x = 18,341,317.45/4,939.96
  6. Step 6: Final answer
    x = 3,712.85

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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.