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Finding the Fourth Proportional to 5,347.56, 7,380.60 and 3,109.26

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Solution

The fourth proportional to 5,347.56, 7,380.60 and 3,109.26 is: 4,291.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.56 : 7,380.60 = 3,109.26 : x
  2. Step 2: Convert to fraction form
    5,347.56/7,380.60 = 3,109.26/x
  3. Step 3: Cross multiply
    5,347.56x = 7,380.60 × 3,109.26
  4. Step 4: Simplify right side
    5,347.56x = 22,948,204.36
  5. Step 5: Solve for x
    x = 22,948,204.36/5,347.56
  6. Step 6: Final answer
    x = 4,291.34

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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.