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Finding the Fourth Proportional to 3,853.80, 5,775.23 and 2,878.76

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Solution

The fourth proportional to 3,853.80, 5,775.23 and 2,878.76 is: 4,314.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.80 : 5,775.23 = 2,878.76 : x
  2. Step 2: Convert to fraction form
    3,853.80/5,775.23 = 2,878.76/x
  3. Step 3: Cross multiply
    3,853.80x = 5,775.23 × 2,878.76
  4. Step 4: Simplify right side
    3,853.80x = 16,625,522.75
  5. Step 5: Solve for x
    x = 16,625,522.75/3,853.80
  6. Step 6: Final answer
    x = 4,314.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.