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Finding the Fourth Proportional to 3,591.96, 4,956.76 and 2,020

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Solution

The fourth proportional to 3,591.96, 4,956.76 and 2,020 is: 2,787.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,591.96 : 4,956.76 = 2,020 : x
  2. Step 2: Convert to fraction form
    3,591.96/4,956.76 = 2,020/x
  3. Step 3: Cross multiply
    3,591.96x = 4,956.76 × 2,020
  4. Step 4: Simplify right side
    3,591.96x = 10,012,655.20
  5. Step 5: Solve for x
    x = 10,012,655.20/3,591.96
  6. Step 6: Final answer
    x = 2,787.52

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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.