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Finding the Fourth Proportional to 3,829.84, 5,285.42 and 2,151.16

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Solution

The fourth proportional to 3,829.84, 5,285.42 and 2,151.16 is: 2,968.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.84 : 5,285.42 = 2,151.16 : x
  2. Step 2: Convert to fraction form
    3,829.84/5,285.42 = 2,151.16/x
  3. Step 3: Cross multiply
    3,829.84x = 5,285.42 × 2,151.16
  4. Step 4: Simplify right side
    3,829.84x = 11,369,784.09
  5. Step 5: Solve for x
    x = 11,369,784.09/3,829.84
  6. Step 6: Final answer
    x = 2,968.74

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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.