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Finding the Fourth Proportional to 5,473.92, 8,210.88 and 1,578.33

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Solution

The fourth proportional to 5,473.92, 8,210.88 and 1,578.33 is: 2,367.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,473.92 : 8,210.88 = 1,578.33 : x
  2. Step 2: Convert to fraction form
    5,473.92/8,210.88 = 1,578.33/x
  3. Step 3: Cross multiply
    5,473.92x = 8,210.88 × 1,578.33
  4. Step 4: Simplify right side
    5,473.92x = 12,959,478.23
  5. Step 5: Solve for x
    x = 12,959,478.23/5,473.92
  6. Step 6: Final answer
    x = 2,367.50

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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.