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Finding the Fourth Proportional to 3,832.94, 5,289.95 and 2,340.55

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Solution

The fourth proportional to 3,832.94, 5,289.95 and 2,340.55 is: 3,230.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.94 : 5,289.95 = 2,340.55 : x
  2. Step 2: Convert to fraction form
    3,832.94/5,289.95 = 2,340.55/x
  3. Step 3: Cross multiply
    3,832.94x = 5,289.95 × 2,340.55
  4. Step 4: Simplify right side
    3,832.94x = 12,381,368.60
  5. Step 5: Solve for x
    x = 12,381,368.60/3,832.94
  6. Step 6: Final answer
    x = 3,230.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.