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Finding the Fourth Proportional to 4,141.60, 6,216.42 and 1,951.84

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Solution

The fourth proportional to 4,141.60, 6,216.42 and 1,951.84 is: 2,929.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.60 : 6,216.42 = 1,951.84 : x
  2. Step 2: Convert to fraction form
    4,141.60/6,216.42 = 1,951.84/x
  3. Step 3: Cross multiply
    4,141.60x = 6,216.42 × 1,951.84
  4. Step 4: Simplify right side
    4,141.60x = 12,133,457.21
  5. Step 5: Solve for x
    x = 12,133,457.21/4,141.60
  6. Step 6: Final answer
    x = 2,929.65

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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.