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Finding the Fourth Proportional to 3,459.39, 5,164.01 and 3,202.44

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Solution

The fourth proportional to 3,459.39, 5,164.01 and 3,202.44 is: 4,780.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.39 : 5,164.01 = 3,202.44 : x
  2. Step 2: Convert to fraction form
    3,459.39/5,164.01 = 3,202.44/x
  3. Step 3: Cross multiply
    3,459.39x = 5,164.01 × 3,202.44
  4. Step 4: Simplify right side
    3,459.39x = 16,537,416.17
  5. Step 5: Solve for x
    x = 16,537,416.17/3,459.39
  6. Step 6: Final answer
    x = 4,780.44

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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.