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Finding the Fourth Proportional to 3,193.38, 4,786.01 and 1,436.51

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Solution

The fourth proportional to 3,193.38, 4,786.01 and 1,436.51 is: 2,152.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.38 : 4,786.01 = 1,436.51 : x
  2. Step 2: Convert to fraction form
    3,193.38/4,786.01 = 1,436.51/x
  3. Step 3: Cross multiply
    3,193.38x = 4,786.01 × 1,436.51
  4. Step 4: Simplify right side
    3,193.38x = 6,875,151.23
  5. Step 5: Solve for x
    x = 6,875,151.23/3,193.38
  6. Step 6: Final answer
    x = 2,152.94

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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.