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Finding the Fourth Proportional to 5,271.93, 7,906.82 and 1,762.20

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Solution

The fourth proportional to 5,271.93, 7,906.82 and 1,762.20 is: 2,642.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.93 : 7,906.82 = 1,762.20 : x
  2. Step 2: Convert to fraction form
    5,271.93/7,906.82 = 1,762.20/x
  3. Step 3: Cross multiply
    5,271.93x = 7,906.82 × 1,762.20
  4. Step 4: Simplify right side
    5,271.93x = 13,933,389.39
  5. Step 5: Solve for x
    x = 13,933,389.39/5,271.93
  6. Step 6: Final answer
    x = 2,642.94

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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.