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Finding the Fourth Proportional to 3,596.12, 4,962.44 and 2,002.62

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Solution

The fourth proportional to 3,596.12, 4,962.44 and 2,002.62 is: 2,763.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.12 : 4,962.44 = 2,002.62 : x
  2. Step 2: Convert to fraction form
    3,596.12/4,962.44 = 2,002.62/x
  3. Step 3: Cross multiply
    3,596.12x = 4,962.44 × 2,002.62
  4. Step 4: Simplify right side
    3,596.12x = 9,937,899.58
  5. Step 5: Solve for x
    x = 9,937,899.58/3,596.12
  6. Step 6: Final answer
    x = 2,763.50

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