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Finding the Fourth Proportional to 3,384.81, 5,077.62 and 1,436.76

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Solution

The fourth proportional to 3,384.81, 5,077.62 and 1,436.76 is: 2,155.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.81 : 5,077.62 = 1,436.76 : x
  2. Step 2: Convert to fraction form
    3,384.81/5,077.62 = 1,436.76/x
  3. Step 3: Cross multiply
    3,384.81x = 5,077.62 × 1,436.76
  4. Step 4: Simplify right side
    3,384.81x = 7,295,321.31
  5. Step 5: Solve for x
    x = 7,295,321.31/3,384.81
  6. Step 6: Final answer
    x = 2,155.31

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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.