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Finding the Fourth Proportional to 3,948.55, 5,922.80 and 1,026.84

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Solution

The fourth proportional to 3,948.55, 5,922.80 and 1,026.84 is: 1,540.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948.55 : 5,922.80 = 1,026.84 : x
  2. Step 2: Convert to fraction form
    3,948.55/5,922.80 = 1,026.84/x
  3. Step 3: Cross multiply
    3,948.55x = 5,922.80 × 1,026.84
  4. Step 4: Simplify right side
    3,948.55x = 6,081,794.65
  5. Step 5: Solve for x
    x = 6,081,794.65/3,948.55
  6. Step 6: Final answer
    x = 1,540.26

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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.