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Finding the Fourth Proportional to 4,852.38, 6,689.50 and 4,103.33

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Solution

The fourth proportional to 4,852.38, 6,689.50 and 4,103.33 is: 5,656.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,852.38 : 6,689.50 = 4,103.33 : x
  2. Step 2: Convert to fraction form
    4,852.38/6,689.50 = 4,103.33/x
  3. Step 3: Cross multiply
    4,852.38x = 6,689.50 × 4,103.33
  4. Step 4: Simplify right side
    4,852.38x = 27,449,226.04
  5. Step 5: Solve for x
    x = 27,449,226.04/4,852.38
  6. Step 6: Final answer
    x = 5,656.86

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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.