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Finding the Fourth Proportional to 5,581.71, 8,364.50 and 3,083.40

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Solution

The fourth proportional to 5,581.71, 8,364.50 and 3,083.40 is: 4,620.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,581.71 : 8,364.50 = 3,083.40 : x
  2. Step 2: Convert to fraction form
    5,581.71/8,364.50 = 3,083.40/x
  3. Step 3: Cross multiply
    5,581.71x = 8,364.50 × 3,083.40
  4. Step 4: Simplify right side
    5,581.71x = 25,791,095.45
  5. Step 5: Solve for x
    x = 25,791,095.45/5,581.71
  6. Step 6: Final answer
    x = 4,620.64

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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.