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Finding the Fourth Proportional to 3,343.64, 5,013.77 and 1,957.41

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Solution

The fourth proportional to 3,343.64, 5,013.77 and 1,957.41 is: 2,935.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343.64 : 5,013.77 = 1,957.41 : x
  2. Step 2: Convert to fraction form
    3,343.64/5,013.77 = 1,957.41/x
  3. Step 3: Cross multiply
    3,343.64x = 5,013.77 × 1,957.41
  4. Step 4: Simplify right side
    3,343.64x = 9,813,993.75
  5. Step 5: Solve for x
    x = 9,813,993.75/3,343.64
  6. Step 6: Final answer
    x = 2,935.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.