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Finding the Fourth Proportional to 3,855.64, 5,777.40 and 2,980.29

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Solution

The fourth proportional to 3,855.64, 5,777.40 and 2,980.29 is: 4,465.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.64 : 5,777.40 = 2,980.29 : x
  2. Step 2: Convert to fraction form
    3,855.64/5,777.40 = 2,980.29/x
  3. Step 3: Cross multiply
    3,855.64x = 5,777.40 × 2,980.29
  4. Step 4: Simplify right side
    3,855.64x = 17,218,298.56
  5. Step 5: Solve for x
    x = 17,218,298.56/3,855.64
  6. Step 6: Final answer
    x = 4,465.74

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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.