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Finding the Fourth Proportional to 4,169.42, 5,723.66 and 3,578.93

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Solution

The fourth proportional to 4,169.42, 5,723.66 and 3,578.93 is: 4,913.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169.42 : 5,723.66 = 3,578.93 : x
  2. Step 2: Convert to fraction form
    4,169.42/5,723.66 = 3,578.93/x
  3. Step 3: Cross multiply
    4,169.42x = 5,723.66 × 3,578.93
  4. Step 4: Simplify right side
    4,169.42x = 20,484,549.87
  5. Step 5: Solve for x
    x = 20,484,549.87/4,169.42
  6. Step 6: Final answer
    x = 4,913.05

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.