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Finding the Fourth Proportional to 3,463.65, 5,196.18 and 1,272.39

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Solution

The fourth proportional to 3,463.65, 5,196.18 and 1,272.39 is: 1,908.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.65 : 5,196.18 = 1,272.39 : x
  2. Step 2: Convert to fraction form
    3,463.65/5,196.18 = 1,272.39/x
  3. Step 3: Cross multiply
    3,463.65x = 5,196.18 × 1,272.39
  4. Step 4: Simplify right side
    3,463.65x = 6,611,567.47
  5. Step 5: Solve for x
    x = 6,611,567.47/3,463.65
  6. Step 6: Final answer
    x = 1,908.84

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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.