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Finding the Fourth Proportional to 3,948.86, 5,922.57 and 1,026.98

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Solution

The fourth proportional to 3,948.86, 5,922.57 and 1,026.98 is: 1,540.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948.86 : 5,922.57 = 1,026.98 : x
  2. Step 2: Convert to fraction form
    3,948.86/5,922.57 = 1,026.98/x
  3. Step 3: Cross multiply
    3,948.86x = 5,922.57 × 1,026.98
  4. Step 4: Simplify right side
    3,948.86x = 6,082,360.94
  5. Step 5: Solve for x
    x = 6,082,360.94/3,948.86
  6. Step 6: Final answer
    x = 1,540.28

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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.