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Finding the Fourth Proportional to 3,856.40, 5,784.19 and 1,083.16

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Solution

The fourth proportional to 3,856.40, 5,784.19 and 1,083.16 is: 1,624.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.40 : 5,784.19 = 1,083.16 : x
  2. Step 2: Convert to fraction form
    3,856.40/5,784.19 = 1,083.16/x
  3. Step 3: Cross multiply
    3,856.40x = 5,784.19 × 1,083.16
  4. Step 4: Simplify right side
    3,856.40x = 6,265,203.24
  5. Step 5: Solve for x
    x = 6,265,203.24/3,856.40
  6. Step 6: Final answer
    x = 1,624.62

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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.