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Finding the Fourth Proportional to 3,756.76, 5,184.30 and 2,078.22

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Solution

The fourth proportional to 3,756.76, 5,184.30 and 2,078.22 is: 2,867.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.76 : 5,184.30 = 2,078.22 : x
  2. Step 2: Convert to fraction form
    3,756.76/5,184.30 = 2,078.22/x
  3. Step 3: Cross multiply
    3,756.76x = 5,184.30 × 2,078.22
  4. Step 4: Simplify right side
    3,756.76x = 10,774,115.95
  5. Step 5: Solve for x
    x = 10,774,115.95/3,756.76
  6. Step 6: Final answer
    x = 2,867.93

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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.