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Finding the Fourth Proportional to 3,563.51, 5,345.99 and 1,098.23

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Solution

The fourth proportional to 3,563.51, 5,345.99 and 1,098.23 is: 1,647.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.51 : 5,345.99 = 1,098.23 : x
  2. Step 2: Convert to fraction form
    3,563.51/5,345.99 = 1,098.23/x
  3. Step 3: Cross multiply
    3,563.51x = 5,345.99 × 1,098.23
  4. Step 4: Simplify right side
    3,563.51x = 5,871,121.11
  5. Step 5: Solve for x
    x = 5,871,121.11/3,563.51
  6. Step 6: Final answer
    x = 1,647.57

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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.