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Finding the Fourth Proportional to 4,703.42, 6,489.24 and 2,936.05

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Solution

The fourth proportional to 4,703.42, 6,489.24 and 2,936.05 is: 4,050.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.42 : 6,489.24 = 2,936.05 : x
  2. Step 2: Convert to fraction form
    4,703.42/6,489.24 = 2,936.05/x
  3. Step 3: Cross multiply
    4,703.42x = 6,489.24 × 2,936.05
  4. Step 4: Simplify right side
    4,703.42x = 19,052,714.13
  5. Step 5: Solve for x
    x = 19,052,714.13/4,703.42
  6. Step 6: Final answer
    x = 4,050.82

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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.