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Finding the Fourth Proportional to 5,513.76, 8,270.68 and 2,051

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Solution

The fourth proportional to 5,513.76, 8,270.68 and 2,051 is: 3,076.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,513.76 : 8,270.68 = 2,051 : x
  2. Step 2: Convert to fraction form
    5,513.76/8,270.68 = 2,051/x
  3. Step 3: Cross multiply
    5,513.76x = 8,270.68 × 2,051
  4. Step 4: Simplify right side
    5,513.76x = 16,963,164.68
  5. Step 5: Solve for x
    x = 16,963,164.68/5,513.76
  6. Step 6: Final answer
    x = 3,076.51

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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.