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Finding the Fourth Proportional to 4,965.60, 7,448.64 and 2,193.60

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Solution

The fourth proportional to 4,965.60, 7,448.64 and 2,193.60 is: 3,290.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.60 : 7,448.64 = 2,193.60 : x
  2. Step 2: Convert to fraction form
    4,965.60/7,448.64 = 2,193.60/x
  3. Step 3: Cross multiply
    4,965.60x = 7,448.64 × 2,193.60
  4. Step 4: Simplify right side
    4,965.60x = 16,339,336.70
  5. Step 5: Solve for x
    x = 16,339,336.70/4,965.60
  6. Step 6: Final answer
    x = 3,290.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.