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Finding the Fourth Proportional to 3,763.89, 5,184.72 and 2,878.20

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Solution

The fourth proportional to 3,763.89, 5,184.72 and 2,878.20 is: 3,964.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.89 : 5,184.72 = 2,878.20 : x
  2. Step 2: Convert to fraction form
    3,763.89/5,184.72 = 2,878.20/x
  3. Step 3: Cross multiply
    3,763.89x = 5,184.72 × 2,878.20
  4. Step 4: Simplify right side
    3,763.89x = 14,922,661.10
  5. Step 5: Solve for x
    x = 14,922,661.10/3,763.89
  6. Step 6: Final answer
    x = 3,964.69

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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.