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Finding the Fourth Proportional to 6,101.89, 8,420.61 and 3,307.39

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Solution

The fourth proportional to 6,101.89, 8,420.61 and 3,307.39 is: 4,564.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.89 : 8,420.61 = 3,307.39 : x
  2. Step 2: Convert to fraction form
    6,101.89/8,420.61 = 3,307.39/x
  3. Step 3: Cross multiply
    6,101.89x = 8,420.61 × 3,307.39
  4. Step 4: Simplify right side
    6,101.89x = 27,850,241.31
  5. Step 5: Solve for x
    x = 27,850,241.31/6,101.89
  6. Step 6: Final answer
    x = 4,564.20

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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.