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Finding the Fourth Proportional to 5,126.66, 7,689.85 and 1,428.74

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Solution

The fourth proportional to 5,126.66, 7,689.85 and 1,428.74 is: 2,143.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,126.66 : 7,689.85 = 1,428.74 : x
  2. Step 2: Convert to fraction form
    5,126.66/7,689.85 = 1,428.74/x
  3. Step 3: Cross multiply
    5,126.66x = 7,689.85 × 1,428.74
  4. Step 4: Simplify right side
    5,126.66x = 10,986,796.29
  5. Step 5: Solve for x
    x = 10,986,796.29/5,126.66
  6. Step 6: Final answer
    x = 2,143.07

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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.