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Finding the Fourth Proportional to 3,756.67, 5,184.16 and 2,078.20

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Solution

The fourth proportional to 3,756.67, 5,184.16 and 2,078.20 is: 2,867.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.67 : 5,184.16 = 2,078.20 : x
  2. Step 2: Convert to fraction form
    3,756.67/5,184.16 = 2,078.20/x
  3. Step 3: Cross multiply
    3,756.67x = 5,184.16 × 2,078.20
  4. Step 4: Simplify right side
    3,756.67x = 10,773,721.31
  5. Step 5: Solve for x
    x = 10,773,721.31/3,756.67
  6. Step 6: Final answer
    x = 2,867.89

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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.