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Finding the Fourth Proportional to 3,782.60, 5,219.64 and 2,788.43

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Solution

The fourth proportional to 3,782.60, 5,219.64 and 2,788.43 is: 3,847.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.60 : 5,219.64 = 2,788.43 : x
  2. Step 2: Convert to fraction form
    3,782.60/5,219.64 = 2,788.43/x
  3. Step 3: Cross multiply
    3,782.60x = 5,219.64 × 2,788.43
  4. Step 4: Simplify right side
    3,782.60x = 14,554,574.67
  5. Step 5: Solve for x
    x = 14,554,574.67/3,782.60
  6. Step 6: Final answer
    x = 3,847.77

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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.