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Finding the Fourth Proportional to 3,599.82, 4,965.66 and 2,422.50

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Solution

The fourth proportional to 3,599.82, 4,965.66 and 2,422.50 is: 3,341.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599.82 : 4,965.66 = 2,422.50 : x
  2. Step 2: Convert to fraction form
    3,599.82/4,965.66 = 2,422.50/x
  3. Step 3: Cross multiply
    3,599.82x = 4,965.66 × 2,422.50
  4. Step 4: Simplify right side
    3,599.82x = 12,029,311.35
  5. Step 5: Solve for x
    x = 12,029,311.35/3,599.82
  6. Step 6: Final answer
    x = 3,341.64

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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.