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Finding the Fourth Proportional to 5,211.27, 7,818.21 and 1,513.80

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Solution

The fourth proportional to 5,211.27, 7,818.21 and 1,513.80 is: 2,271.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,211.27 : 7,818.21 = 1,513.80 : x
  2. Step 2: Convert to fraction form
    5,211.27/7,818.21 = 1,513.80/x
  3. Step 3: Cross multiply
    5,211.27x = 7,818.21 × 1,513.80
  4. Step 4: Simplify right side
    5,211.27x = 11,835,206.30
  5. Step 5: Solve for x
    x = 11,835,206.30/5,211.27
  6. Step 6: Final answer
    x = 2,271.08

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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.