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Finding the Fourth Proportional to 5,952.82, 8,929.30 and 2,056.31

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Solution

The fourth proportional to 5,952.82, 8,929.30 and 2,056.31 is: 3,084.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.82 : 8,929.30 = 2,056.31 : x
  2. Step 2: Convert to fraction form
    5,952.82/8,929.30 = 2,056.31/x
  3. Step 3: Cross multiply
    5,952.82x = 8,929.30 × 2,056.31
  4. Step 4: Simplify right side
    5,952.82x = 18,361,426.07
  5. Step 5: Solve for x
    x = 18,361,426.07/5,952.82
  6. Step 6: Final answer
    x = 3,084.49

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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.