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Finding the Fourth Proportional to 3,583.63, 5,374.83 and 951.17

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Solution

The fourth proportional to 3,583.63, 5,374.83 and 951.17 is: 1,426.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.63 : 5,374.83 = 951.17 : x
  2. Step 2: Convert to fraction form
    3,583.63/5,374.83 = 951.17/x
  3. Step 3: Cross multiply
    3,583.63x = 5,374.83 × 951.17
  4. Step 4: Simplify right side
    3,583.63x = 5,112,377.05
  5. Step 5: Solve for x
    x = 5,112,377.05/3,583.63
  6. Step 6: Final answer
    x = 1,426.59

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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.