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Finding the Fourth Proportional to 3,956.64, 5,936.88 and 1,648.80

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Solution

The fourth proportional to 3,956.64, 5,936.88 and 1,648.80 is: 2,474.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.64 : 5,936.88 = 1,648.80 : x
  2. Step 2: Convert to fraction form
    3,956.64/5,936.88 = 1,648.80/x
  3. Step 3: Cross multiply
    3,956.64x = 5,936.88 × 1,648.80
  4. Step 4: Simplify right side
    3,956.64x = 9,788,727.74
  5. Step 5: Solve for x
    x = 9,788,727.74/3,956.64
  6. Step 6: Final answer
    x = 2,474.00

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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.