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Finding the Fourth Proportional to 3,463.77, 5,196.33 and 1,272.51

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Solution

The fourth proportional to 3,463.77, 5,196.33 and 1,272.51 is: 1,909.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.77 : 5,196.33 = 1,272.51 : x
  2. Step 2: Convert to fraction form
    3,463.77/5,196.33 = 1,272.51/x
  3. Step 3: Cross multiply
    3,463.77x = 5,196.33 × 1,272.51
  4. Step 4: Simplify right side
    3,463.77x = 6,612,375.53
  5. Step 5: Solve for x
    x = 6,612,375.53/3,463.77
  6. Step 6: Final answer
    x = 1,909.01

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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.