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Finding the Fourth Proportional to 3,473.68, 5,212.55 and 1,283.94

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Solution

The fourth proportional to 3,473.68, 5,212.55 and 1,283.94 is: 1,926.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.68 : 5,212.55 = 1,283.94 : x
  2. Step 2: Convert to fraction form
    3,473.68/5,212.55 = 1,283.94/x
  3. Step 3: Cross multiply
    3,473.68x = 5,212.55 × 1,283.94
  4. Step 4: Simplify right side
    3,473.68x = 6,692,601.45
  5. Step 5: Solve for x
    x = 6,692,601.45/3,473.68
  6. Step 6: Final answer
    x = 1,926.66

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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.