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Finding the Fourth Proportional to 4,939.98, 7,410.84 and 1,653.40

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Solution

The fourth proportional to 4,939.98, 7,410.84 and 1,653.40 is: 2,480.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,939.98 : 7,410.84 = 1,653.40 : x
  2. Step 2: Convert to fraction form
    4,939.98/7,410.84 = 1,653.40/x
  3. Step 3: Cross multiply
    4,939.98x = 7,410.84 × 1,653.40
  4. Step 4: Simplify right side
    4,939.98x = 12,253,082.86
  5. Step 5: Solve for x
    x = 12,253,082.86/4,939.98
  6. Step 6: Final answer
    x = 2,480.39

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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.