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Finding the Fourth Proportional to 5,949.62, 8,923.67 and 1,567.41

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Solution

The fourth proportional to 5,949.62, 8,923.67 and 1,567.41 is: 2,350.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.62 : 8,923.67 = 1,567.41 : x
  2. Step 2: Convert to fraction form
    5,949.62/8,923.67 = 1,567.41/x
  3. Step 3: Cross multiply
    5,949.62x = 8,923.67 × 1,567.41
  4. Step 4: Simplify right side
    5,949.62x = 13,987,041.76
  5. Step 5: Solve for x
    x = 13,987,041.76/5,949.62
  6. Step 6: Final answer
    x = 2,350.92

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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.