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Finding the Fourth Proportional to 4,919.64, 7,382.50 and 2,843.76

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Solution

The fourth proportional to 4,919.64, 7,382.50 and 2,843.76 is: 4,267.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,919.64 : 7,382.50 = 2,843.76 : x
  2. Step 2: Convert to fraction form
    4,919.64/7,382.50 = 2,843.76/x
  3. Step 3: Cross multiply
    4,919.64x = 7,382.50 × 2,843.76
  4. Step 4: Simplify right side
    4,919.64x = 20,994,058.20
  5. Step 5: Solve for x
    x = 20,994,058.20/4,919.64
  6. Step 6: Final answer
    x = 4,267.40

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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.