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Finding the Fourth Proportional to 5,405.30, 8,107.97 and 1,509.69

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Solution

The fourth proportional to 5,405.30, 8,107.97 and 1,509.69 is: 2,264.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.30 : 8,107.97 = 1,509.69 : x
  2. Step 2: Convert to fraction form
    5,405.30/8,107.97 = 1,509.69/x
  3. Step 3: Cross multiply
    5,405.30x = 8,107.97 × 1,509.69
  4. Step 4: Simplify right side
    5,405.30x = 12,240,513.68
  5. Step 5: Solve for x
    x = 12,240,513.68/5,405.30
  6. Step 6: Final answer
    x = 2,264.54

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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.