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Finding the Fourth Proportional to 5,271.71, 7,906.96 and 1,376.42

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Solution

The fourth proportional to 5,271.71, 7,906.96 and 1,376.42 is: 2,064.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.71 : 7,906.96 = 1,376.42 : x
  2. Step 2: Convert to fraction form
    5,271.71/7,906.96 = 1,376.42/x
  3. Step 3: Cross multiply
    5,271.71x = 7,906.96 × 1,376.42
  4. Step 4: Simplify right side
    5,271.71x = 10,883,291.00
  5. Step 5: Solve for x
    x = 10,883,291.00/5,271.71
  6. Step 6: Final answer
    x = 2,064.47

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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.