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Finding the Fourth Proportional to 3,829.92, 5,285.04 and 2,214.56

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Solution

The fourth proportional to 3,829.92, 5,285.04 and 2,214.56 is: 3,055.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.92 : 5,285.04 = 2,214.56 : x
  2. Step 2: Convert to fraction form
    3,829.92/5,285.04 = 2,214.56/x
  3. Step 3: Cross multiply
    3,829.92x = 5,285.04 × 2,214.56
  4. Step 4: Simplify right side
    3,829.92x = 11,704,038.18
  5. Step 5: Solve for x
    x = 11,704,038.18/3,829.92
  6. Step 6: Final answer
    x = 3,055.95

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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.