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Finding the Fourth Proportional to 4,083.81, 6,126.90 and 1,310.42

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Solution

The fourth proportional to 4,083.81, 6,126.90 and 1,310.42 is: 1,966.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,083.81 : 6,126.90 = 1,310.42 : x
  2. Step 2: Convert to fraction form
    4,083.81/6,126.90 = 1,310.42/x
  3. Step 3: Cross multiply
    4,083.81x = 6,126.90 × 1,310.42
  4. Step 4: Simplify right side
    4,083.81x = 8,028,812.30
  5. Step 5: Solve for x
    x = 8,028,812.30/4,083.81
  6. Step 6: Final answer
    x = 1,966.01

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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.