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Finding the Fourth Proportional to 3,595.84, 4,962.10 and 2,023.88

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Solution

The fourth proportional to 3,595.84, 4,962.10 and 2,023.88 is: 2,792.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,595.84 : 4,962.10 = 2,023.88 : x
  2. Step 2: Convert to fraction form
    3,595.84/4,962.10 = 2,023.88/x
  3. Step 3: Cross multiply
    3,595.84x = 4,962.10 × 2,023.88
  4. Step 4: Simplify right side
    3,595.84x = 10,042,694.95
  5. Step 5: Solve for x
    x = 10,042,694.95/3,595.84
  6. Step 6: Final answer
    x = 2,792.86

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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.