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Finding the Fourth Proportional to 3,765.60, 5,196.96 and 3,644.64

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Solution

The fourth proportional to 3,765.60, 5,196.96 and 3,644.64 is: 5,030.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.60 : 5,196.96 = 3,644.64 : x
  2. Step 2: Convert to fraction form
    3,765.60/5,196.96 = 3,644.64/x
  3. Step 3: Cross multiply
    3,765.60x = 5,196.96 × 3,644.64
  4. Step 4: Simplify right side
    3,765.60x = 18,941,048.29
  5. Step 5: Solve for x
    x = 18,941,048.29/3,765.60
  6. Step 6: Final answer
    x = 5,030.02

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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.