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Finding the Fourth Proportional to 4,221.86, 6,334.16 and 2,030.30

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Solution

The fourth proportional to 4,221.86, 6,334.16 and 2,030.30 is: 3,046.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.86 : 6,334.16 = 2,030.30 : x
  2. Step 2: Convert to fraction form
    4,221.86/6,334.16 = 2,030.30/x
  3. Step 3: Cross multiply
    4,221.86x = 6,334.16 × 2,030.30
  4. Step 4: Simplify right side
    4,221.86x = 12,860,250.73
  5. Step 5: Solve for x
    x = 12,860,250.73/4,221.86
  6. Step 6: Final answer
    x = 3,046.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.