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Finding the Fourth Proportional to 7,351.20, 11,026.80 and 2,419.50

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Solution

The fourth proportional to 7,351.20, 11,026.80 and 2,419.50 is: 3,629.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,351.20 : 11,026.80 = 2,419.50 : x
  2. Step 2: Convert to fraction form
    7,351.20/11,026.80 = 2,419.50/x
  3. Step 3: Cross multiply
    7,351.20x = 11,026.80 × 2,419.50
  4. Step 4: Simplify right side
    7,351.20x = 26,679,342.60
  5. Step 5: Solve for x
    x = 26,679,342.60/7,351.20
  6. Step 6: Final answer
    x = 3,629.25

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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.