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Finding the Fourth Proportional to 5,703, 7,869.38 and 3,184.84

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Solution

The fourth proportional to 5,703, 7,869.38 and 3,184.84 is: 4,394.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703 : 7,869.38 = 3,184.84 : x
  2. Step 2: Convert to fraction form
    5,703/7,869.38 = 3,184.84/x
  3. Step 3: Cross multiply
    5,703x = 7,869.38 × 3,184.84
  4. Step 4: Simplify right side
    5,703x = 25,062,716.20
  5. Step 5: Solve for x
    x = 25,062,716.20/5,703
  6. Step 6: Final answer
    x = 4,394.65

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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.