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Finding the Fourth Proportional to 3,595.71, 4,962.38 and 2,002.67

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Solution

The fourth proportional to 3,595.71, 4,962.38 and 2,002.67 is: 2,763.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,595.71 : 4,962.38 = 2,002.67 : x
  2. Step 2: Convert to fraction form
    3,595.71/4,962.38 = 2,002.67/x
  3. Step 3: Cross multiply
    3,595.71x = 4,962.38 × 2,002.67
  4. Step 4: Simplify right side
    3,595.71x = 9,937,974.73
  5. Step 5: Solve for x
    x = 9,937,974.73/3,595.71
  6. Step 6: Final answer
    x = 2,763.84

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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.