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Finding the Fourth Proportional to 3,592.64, 4,957.80 and 2,021

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Solution

The fourth proportional to 3,592.64, 4,957.80 and 2,021 is: 2,788.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,592.64 : 4,957.80 = 2,021 : x
  2. Step 2: Convert to fraction form
    3,592.64/4,957.80 = 2,021/x
  3. Step 3: Cross multiply
    3,592.64x = 4,957.80 × 2,021
  4. Step 4: Simplify right side
    3,592.64x = 10,019,713.80
  5. Step 5: Solve for x
    x = 10,019,713.80/3,592.64
  6. Step 6: Final answer
    x = 2,788.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.