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Finding the Fourth Proportional to 6,801.88, 10,201.50 and 2,419.40

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Solution

The fourth proportional to 6,801.88, 10,201.50 and 2,419.40 is: 3,628.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.88 : 10,201.50 = 2,419.40 : x
  2. Step 2: Convert to fraction form
    6,801.88/10,201.50 = 2,419.40/x
  3. Step 3: Cross multiply
    6,801.88x = 10,201.50 × 2,419.40
  4. Step 4: Simplify right side
    6,801.88x = 24,681,509.10
  5. Step 5: Solve for x
    x = 24,681,509.10/6,801.88
  6. Step 6: Final answer
    x = 3,628.63

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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.