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Finding the Fourth Proportional to 3,858.30, 5,782.80 and 1,775.43

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Solution

The fourth proportional to 3,858.30, 5,782.80 and 1,775.43 is: 2,661.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.30 : 5,782.80 = 1,775.43 : x
  2. Step 2: Convert to fraction form
    3,858.30/5,782.80 = 1,775.43/x
  3. Step 3: Cross multiply
    3,858.30x = 5,782.80 × 1,775.43
  4. Step 4: Simplify right side
    3,858.30x = 10,266,956.60
  5. Step 5: Solve for x
    x = 10,266,956.60/3,858.30
  6. Step 6: Final answer
    x = 2,661.01

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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.