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Finding the Fourth Proportional to 3,858.36, 5,784.62 and 1,776.90

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Solution

The fourth proportional to 3,858.36, 5,784.62 and 1,776.90 is: 2,664.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.36 : 5,784.62 = 1,776.90 : x
  2. Step 2: Convert to fraction form
    3,858.36/5,784.62 = 1,776.90/x
  3. Step 3: Cross multiply
    3,858.36x = 5,784.62 × 1,776.90
  4. Step 4: Simplify right side
    3,858.36x = 10,278,691.28
  5. Step 5: Solve for x
    x = 10,278,691.28/3,858.36
  6. Step 6: Final answer
    x = 2,664.01

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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.