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Finding the Fourth Proportional to 6,101.91, 8,420.64 and 3,307.41

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Solution

The fourth proportional to 6,101.91, 8,420.64 and 3,307.41 is: 4,564.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.91 : 8,420.64 = 3,307.41 : x
  2. Step 2: Convert to fraction form
    6,101.91/8,420.64 = 3,307.41/x
  3. Step 3: Cross multiply
    6,101.91x = 8,420.64 × 3,307.41
  4. Step 4: Simplify right side
    6,101.91x = 27,850,508.94
  5. Step 5: Solve for x
    x = 27,850,508.94/6,101.91
  6. Step 6: Final answer
    x = 4,564.23

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