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Finding the Fourth Proportional to 3,423.64, 5,135.46 and 1,963.72

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Solution

The fourth proportional to 3,423.64, 5,135.46 and 1,963.72 is: 2,945.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.64 : 5,135.46 = 1,963.72 : x
  2. Step 2: Convert to fraction form
    3,423.64/5,135.46 = 1,963.72/x
  3. Step 3: Cross multiply
    3,423.64x = 5,135.46 × 1,963.72
  4. Step 4: Simplify right side
    3,423.64x = 10,084,605.51
  5. Step 5: Solve for x
    x = 10,084,605.51/3,423.64
  6. Step 6: Final answer
    x = 2,945.58

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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.