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Finding the Fourth Proportional to 5,206.56, 7,802.96 and 3,119.84

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Solution

The fourth proportional to 5,206.56, 7,802.96 and 3,119.84 is: 4,675.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.56 : 7,802.96 = 3,119.84 : x
  2. Step 2: Convert to fraction form
    5,206.56/7,802.96 = 3,119.84/x
  3. Step 3: Cross multiply
    5,206.56x = 7,802.96 × 3,119.84
  4. Step 4: Simplify right side
    5,206.56x = 24,343,986.73
  5. Step 5: Solve for x
    x = 24,343,986.73/5,206.56
  6. Step 6: Final answer
    x = 4,675.64

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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.