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Finding the Fourth Proportional to 3,459.84, 5,185.92 and 1,632

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Solution

The fourth proportional to 3,459.84, 5,185.92 and 1,632 is: 2,446.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.84 : 5,185.92 = 1,632 : x
  2. Step 2: Convert to fraction form
    3,459.84/5,185.92 = 1,632/x
  3. Step 3: Cross multiply
    3,459.84x = 5,185.92 × 1,632
  4. Step 4: Simplify right side
    3,459.84x = 8,463,421.44
  5. Step 5: Solve for x
    x = 8,463,421.44/3,459.84
  6. Step 6: Final answer
    x = 2,446.19

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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.