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Finding the Fourth Proportional to 5,206.67, 7,177.73 and 3,711.99

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Solution

The fourth proportional to 5,206.67, 7,177.73 and 3,711.99 is: 5,117.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.67 : 7,177.73 = 3,711.99 : x
  2. Step 2: Convert to fraction form
    5,206.67/7,177.73 = 3,711.99/x
  3. Step 3: Cross multiply
    5,206.67x = 7,177.73 × 3,711.99
  4. Step 4: Simplify right side
    5,206.67x = 26,643,652.70
  5. Step 5: Solve for x
    x = 26,643,652.70/5,206.67
  6. Step 6: Final answer
    x = 5,117.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.