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Finding the Fourth Proportional to 5,207.71, 7,811.66 and 1,919.11

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Solution

The fourth proportional to 5,207.71, 7,811.66 and 1,919.11 is: 2,878.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.71 : 7,811.66 = 1,919.11 : x
  2. Step 2: Convert to fraction form
    5,207.71/7,811.66 = 1,919.11/x
  3. Step 3: Cross multiply
    5,207.71x = 7,811.66 × 1,919.11
  4. Step 4: Simplify right side
    5,207.71x = 14,991,425.23
  5. Step 5: Solve for x
    x = 14,991,425.23/5,207.71
  6. Step 6: Final answer
    x = 2,878.70

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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.