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Finding the Fourth Proportional to 5,873.55, 8,105.35 and 3,184.62

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Solution

The fourth proportional to 5,873.55, 8,105.35 and 3,184.62 is: 4,394.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,873.55 : 8,105.35 = 3,184.62 : x
  2. Step 2: Convert to fraction form
    5,873.55/8,105.35 = 3,184.62/x
  3. Step 3: Cross multiply
    5,873.55x = 8,105.35 × 3,184.62
  4. Step 4: Simplify right side
    5,873.55x = 25,812,427.33
  5. Step 5: Solve for x
    x = 25,812,427.33/5,873.55
  6. Step 6: Final answer
    x = 4,394.69

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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.