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Finding the Fourth Proportional to 5,509.82, 8,265.25 and 1,812.06

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Solution

The fourth proportional to 5,509.82, 8,265.25 and 1,812.06 is: 2,718.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.82 : 8,265.25 = 1,812.06 : x
  2. Step 2: Convert to fraction form
    5,509.82/8,265.25 = 1,812.06/x
  3. Step 3: Cross multiply
    5,509.82x = 8,265.25 × 1,812.06
  4. Step 4: Simplify right side
    5,509.82x = 14,977,131.18
  5. Step 5: Solve for x
    x = 14,977,131.18/5,509.82
  6. Step 6: Final answer
    x = 2,718.26

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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.