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Finding the Fourth Proportional to 5,206.81, 7,789.48 and 4,521.55

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Solution

The fourth proportional to 5,206.81, 7,789.48 and 4,521.55 is: 6,764.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.81 : 7,789.48 = 4,521.55 : x
  2. Step 2: Convert to fraction form
    5,206.81/7,789.48 = 4,521.55/x
  3. Step 3: Cross multiply
    5,206.81x = 7,789.48 × 4,521.55
  4. Step 4: Simplify right side
    5,206.81x = 35,220,523.29
  5. Step 5: Solve for x
    x = 35,220,523.29/5,206.81
  6. Step 6: Final answer
    x = 6,764.32

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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.