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Finding the Fourth Proportional to 3,756.90, 5,184.49 and 2,078.31

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Solution

The fourth proportional to 3,756.90, 5,184.49 and 2,078.31 is: 2,868.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.90 : 5,184.49 = 2,078.31 : x
  2. Step 2: Convert to fraction form
    3,756.90/5,184.49 = 2,078.31/x
  3. Step 3: Cross multiply
    3,756.90x = 5,184.49 × 2,078.31
  4. Step 4: Simplify right side
    3,756.90x = 10,774,977.41
  5. Step 5: Solve for x
    x = 10,774,977.41/3,756.90
  6. Step 6: Final answer
    x = 2,868.05

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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.