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Finding the Fourth Proportional to 3,473.55, 5,212.36 and 1,283.80

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Solution

The fourth proportional to 3,473.55, 5,212.36 and 1,283.80 is: 1,926.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.55 : 5,212.36 = 1,283.80 : x
  2. Step 2: Convert to fraction form
    3,473.55/5,212.36 = 1,283.80/x
  3. Step 3: Cross multiply
    3,473.55x = 5,212.36 × 1,283.80
  4. Step 4: Simplify right side
    3,473.55x = 6,691,627.77
  5. Step 5: Solve for x
    x = 6,691,627.77/3,473.55
  6. Step 6: Final answer
    x = 1,926.45

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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.