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Finding the Fourth Proportional to 5,708.90, 8,559.20 and 3,855.42

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Solution

The fourth proportional to 5,708.90, 8,559.20 and 3,855.42 is: 5,780.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.90 : 8,559.20 = 3,855.42 : x
  2. Step 2: Convert to fraction form
    5,708.90/8,559.20 = 3,855.42/x
  3. Step 3: Cross multiply
    5,708.90x = 8,559.20 × 3,855.42
  4. Step 4: Simplify right side
    5,708.90x = 32,999,320.50
  5. Step 5: Solve for x
    x = 32,999,320.50/5,708.90
  6. Step 6: Final answer
    x = 5,780.33

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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.