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Finding the Fourth Proportional to 5,126.40, 7,687.71 and 1,842.21

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Solution

The fourth proportional to 5,126.40, 7,687.71 and 1,842.21 is: 2,762.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,126.40 : 7,687.71 = 1,842.21 : x
  2. Step 2: Convert to fraction form
    5,126.40/7,687.71 = 1,842.21/x
  3. Step 3: Cross multiply
    5,126.40x = 7,687.71 × 1,842.21
  4. Step 4: Simplify right side
    5,126.40x = 14,162,376.24
  5. Step 5: Solve for x
    x = 14,162,376.24/5,126.40
  6. Step 6: Final answer
    x = 2,762.64

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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.