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Finding the Fourth Proportional to 3,473.42, 5,212.40 and 1,282.19

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Solution

The fourth proportional to 3,473.42, 5,212.40 and 1,282.19 is: 1,924.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.42 : 5,212.40 = 1,282.19 : x
  2. Step 2: Convert to fraction form
    3,473.42/5,212.40 = 1,282.19/x
  3. Step 3: Cross multiply
    3,473.42x = 5,212.40 × 1,282.19
  4. Step 4: Simplify right side
    3,473.42x = 6,683,254.68
  5. Step 5: Solve for x
    x = 6,683,254.68/3,473.42
  6. Step 6: Final answer
    x = 1,924.12

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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.