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Finding the Fourth Proportional to 3,774.54, 5,662.63 and 1,141.84

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Solution

The fourth proportional to 3,774.54, 5,662.63 and 1,141.84 is: 1,713.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.54 : 5,662.63 = 1,141.84 : x
  2. Step 2: Convert to fraction form
    3,774.54/5,662.63 = 1,141.84/x
  3. Step 3: Cross multiply
    3,774.54x = 5,662.63 × 1,141.84
  4. Step 4: Simplify right side
    3,774.54x = 6,465,825.94
  5. Step 5: Solve for x
    x = 6,465,825.94/3,774.54
  6. Step 6: Final answer
    x = 1,713.01

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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.