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Finding the Fourth Proportional to 5,217.99, 7,813.31 and 3,577.74

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Solution

The fourth proportional to 5,217.99, 7,813.31 and 3,577.74 is: 5,357.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,217.99 : 7,813.31 = 3,577.74 : x
  2. Step 2: Convert to fraction form
    5,217.99/7,813.31 = 3,577.74/x
  3. Step 3: Cross multiply
    5,217.99x = 7,813.31 × 3,577.74
  4. Step 4: Simplify right side
    5,217.99x = 27,953,973.83
  5. Step 5: Solve for x
    x = 27,953,973.83/5,217.99
  6. Step 6: Final answer
    x = 5,357.23

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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.