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Finding the Fourth Proportional to 5,221.59, 7,834.01 and 1,711.63

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Solution

The fourth proportional to 5,221.59, 7,834.01 and 1,711.63 is: 2,567.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.59 : 7,834.01 = 1,711.63 : x
  2. Step 2: Convert to fraction form
    5,221.59/7,834.01 = 1,711.63/x
  3. Step 3: Cross multiply
    5,221.59x = 7,834.01 × 1,711.63
  4. Step 4: Simplify right side
    5,221.59x = 13,408,878.81
  5. Step 5: Solve for x
    x = 13,408,878.81/5,221.59
  6. Step 6: Final answer
    x = 2,567.97

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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.