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Finding the Fourth Proportional to 5,873.90, 8,106.50 and 3,221.83

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Solution

The fourth proportional to 5,873.90, 8,106.50 and 3,221.83 is: 4,446.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,873.90 : 8,106.50 = 3,221.83 : x
  2. Step 2: Convert to fraction form
    5,873.90/8,106.50 = 3,221.83/x
  3. Step 3: Cross multiply
    5,873.90x = 8,106.50 × 3,221.83
  4. Step 4: Simplify right side
    5,873.90x = 26,117,728.52
  5. Step 5: Solve for x
    x = 26,117,728.52/5,873.90
  6. Step 6: Final answer
    x = 4,446.40

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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.