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Finding the Fourth Proportional to 5,847.81, 8,075.66 and 5,003.57

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Solution

The fourth proportional to 5,847.81, 8,075.66 and 5,003.57 is: 6,909.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.81 : 8,075.66 = 5,003.57 : x
  2. Step 2: Convert to fraction form
    5,847.81/8,075.66 = 5,003.57/x
  3. Step 3: Cross multiply
    5,847.81x = 8,075.66 × 5,003.57
  4. Step 4: Simplify right side
    5,847.81x = 40,407,168.56
  5. Step 5: Solve for x
    x = 40,407,168.56/5,847.81
  6. Step 6: Final answer
    x = 6,909.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.