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Finding the Fourth Proportional to 3,459.64, 5,164.36 and 3,202.69

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Solution

The fourth proportional to 3,459.64, 5,164.36 and 3,202.69 is: 4,780.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.64 : 5,164.36 = 3,202.69 : x
  2. Step 2: Convert to fraction form
    3,459.64/5,164.36 = 3,202.69/x
  3. Step 3: Cross multiply
    3,459.64x = 5,164.36 × 3,202.69
  4. Step 4: Simplify right side
    3,459.64x = 16,539,844.13
  5. Step 5: Solve for x
    x = 16,539,844.13/3,459.64
  6. Step 6: Final answer
    x = 4,780.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.