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Finding the Fourth Proportional to 5,271.40, 7,906.92 and 1,808.64

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Solution

The fourth proportional to 5,271.40, 7,906.92 and 1,808.64 is: 2,712.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.40 : 7,906.92 = 1,808.64 : x
  2. Step 2: Convert to fraction form
    5,271.40/7,906.92 = 1,808.64/x
  3. Step 3: Cross multiply
    5,271.40x = 7,906.92 × 1,808.64
  4. Step 4: Simplify right side
    5,271.40x = 14,300,771.79
  5. Step 5: Solve for x
    x = 14,300,771.79/5,271.40
  6. Step 6: Final answer
    x = 2,712.90

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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.