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Finding the Fourth Proportional to 3,756.92, 5,184.27 and 2,078.26

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Solution

The fourth proportional to 3,756.92, 5,184.27 and 2,078.26 is: 2,867.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.92 : 5,184.27 = 2,078.26 : x
  2. Step 2: Convert to fraction form
    3,756.92/5,184.27 = 2,078.26/x
  3. Step 3: Cross multiply
    3,756.92x = 5,184.27 × 2,078.26
  4. Step 4: Simplify right side
    3,756.92x = 10,774,248.01
  5. Step 5: Solve for x
    x = 10,774,248.01/3,756.92
  6. Step 6: Final answer
    x = 2,867.84

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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.