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Finding the Fourth Proportional to 5,473.62, 8,210.82 and 1,578.36

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Solution

The fourth proportional to 5,473.62, 8,210.82 and 1,578.36 is: 2,367.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,473.62 : 8,210.82 = 1,578.36 : x
  2. Step 2: Convert to fraction form
    5,473.62/8,210.82 = 1,578.36/x
  3. Step 3: Cross multiply
    5,473.62x = 8,210.82 × 1,578.36
  4. Step 4: Simplify right side
    5,473.62x = 12,959,629.86
  5. Step 5: Solve for x
    x = 12,959,629.86/5,473.62
  6. Step 6: Final answer
    x = 2,367.65

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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.