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Finding the Fourth Proportional to 3,774.37, 5,659.40 and 1,463.17

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Solution

The fourth proportional to 3,774.37, 5,659.40 and 1,463.17 is: 2,193.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.37 : 5,659.40 = 1,463.17 : x
  2. Step 2: Convert to fraction form
    3,774.37/5,659.40 = 1,463.17/x
  3. Step 3: Cross multiply
    3,774.37x = 5,659.40 × 1,463.17
  4. Step 4: Simplify right side
    3,774.37x = 8,280,656.98
  5. Step 5: Solve for x
    x = 8,280,656.98/3,774.37
  6. Step 6: Final answer
    x = 2,193.92

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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.