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Finding the Fourth Proportional to 5,952.85, 8,929.17 and 2,057.15

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Solution

The fourth proportional to 5,952.85, 8,929.17 and 2,057.15 is: 3,085.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.85 : 8,929.17 = 2,057.15 : x
  2. Step 2: Convert to fraction form
    5,952.85/8,929.17 = 2,057.15/x
  3. Step 3: Cross multiply
    5,952.85x = 8,929.17 × 2,057.15
  4. Step 4: Simplify right side
    5,952.85x = 18,368,664.39
  5. Step 5: Solve for x
    x = 18,368,664.39/5,952.85
  6. Step 6: Final answer
    x = 3,085.69

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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.