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Finding the Fourth Proportional to 3,920.94, 5,882.43 and 1,456.47

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Solution

The fourth proportional to 3,920.94, 5,882.43 and 1,456.47 is: 2,185.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.94 : 5,882.43 = 1,456.47 : x
  2. Step 2: Convert to fraction form
    3,920.94/5,882.43 = 1,456.47/x
  3. Step 3: Cross multiply
    3,920.94x = 5,882.43 × 1,456.47
  4. Step 4: Simplify right side
    3,920.94x = 8,567,582.82
  5. Step 5: Solve for x
    x = 8,567,582.82/3,920.94
  6. Step 6: Final answer
    x = 2,185.08

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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.