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Finding the Fourth Proportional to 3,376.81, 5,065.62 and 1,428.76

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Solution

The fourth proportional to 3,376.81, 5,065.62 and 1,428.76 is: 2,143.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,376.81 : 5,065.62 = 1,428.76 : x
  2. Step 2: Convert to fraction form
    3,376.81/5,065.62 = 1,428.76/x
  3. Step 3: Cross multiply
    3,376.81x = 5,065.62 × 1,428.76
  4. Step 4: Simplify right side
    3,376.81x = 7,237,555.23
  5. Step 5: Solve for x
    x = 7,237,555.23/3,376.81
  6. Step 6: Final answer
    x = 2,143.31

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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.