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Finding the Fourth Proportional to 5,731.80, 8,603.10 and 3,544.80

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Solution

The fourth proportional to 5,731.80, 8,603.10 and 3,544.80 is: 5,320.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.80 : 8,603.10 = 3,544.80 : x
  2. Step 2: Convert to fraction form
    5,731.80/8,603.10 = 3,544.80/x
  3. Step 3: Cross multiply
    5,731.80x = 8,603.10 × 3,544.80
  4. Step 4: Simplify right side
    5,731.80x = 30,496,268.88
  5. Step 5: Solve for x
    x = 30,496,268.88/5,731.80
  6. Step 6: Final answer
    x = 5,320.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.