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Finding the Fourth Proportional to 4,936.94, 7,405.80 and 1,650.04

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Solution

The fourth proportional to 4,936.94, 7,405.80 and 1,650.04 is: 2,475.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,936.94 : 7,405.80 = 1,650.04 : x
  2. Step 2: Convert to fraction form
    4,936.94/7,405.80 = 1,650.04/x
  3. Step 3: Cross multiply
    4,936.94x = 7,405.80 × 1,650.04
  4. Step 4: Simplify right side
    4,936.94x = 12,219,866.23
  5. Step 5: Solve for x
    x = 12,219,866.23/4,936.94
  6. Step 6: Final answer
    x = 2,475.19

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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.