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Finding the Fourth Proportional to 5,406.99, 8,107.71 and 2,482.75

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Solution

The fourth proportional to 5,406.99, 8,107.71 and 2,482.75 is: 3,722.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.99 : 8,107.71 = 2,482.75 : x
  2. Step 2: Convert to fraction form
    5,406.99/8,107.71 = 2,482.75/x
  3. Step 3: Cross multiply
    5,406.99x = 8,107.71 × 2,482.75
  4. Step 4: Simplify right side
    5,406.99x = 20,129,417.00
  5. Step 5: Solve for x
    x = 20,129,417.00/5,406.99
  6. Step 6: Final answer
    x = 3,722.85

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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.