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Finding the Fourth Proportional to 5,739.38, 7,922.98 and 4,412.60

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Solution

The fourth proportional to 5,739.38, 7,922.98 and 4,412.60 is: 6,091.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.38 : 7,922.98 = 4,412.60 : x
  2. Step 2: Convert to fraction form
    5,739.38/7,922.98 = 4,412.60/x
  3. Step 3: Cross multiply
    5,739.38x = 7,922.98 × 4,412.60
  4. Step 4: Simplify right side
    5,739.38x = 34,960,941.55
  5. Step 5: Solve for x
    x = 34,960,941.55/5,739.38
  6. Step 6: Final answer
    x = 6,091.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.