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Finding the Fourth Proportional to 5,206.79, 7,811.23 and 1,919.90

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Solution

The fourth proportional to 5,206.79, 7,811.23 and 1,919.90 is: 2,880.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.79 : 7,811.23 = 1,919.90 : x
  2. Step 2: Convert to fraction form
    5,206.79/7,811.23 = 1,919.90/x
  3. Step 3: Cross multiply
    5,206.79x = 7,811.23 × 1,919.90
  4. Step 4: Simplify right side
    5,206.79x = 14,996,780.48
  5. Step 5: Solve for x
    x = 14,996,780.48/5,206.79
  6. Step 6: Final answer
    x = 2,880.24

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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.