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Finding the Fourth Proportional to 4,932.93, 6,810.18 and 3,578.41

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Solution

The fourth proportional to 4,932.93, 6,810.18 and 3,578.41 is: 4,940.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.93 : 6,810.18 = 3,578.41 : x
  2. Step 2: Convert to fraction form
    4,932.93/6,810.18 = 3,578.41/x
  3. Step 3: Cross multiply
    4,932.93x = 6,810.18 × 3,578.41
  4. Step 4: Simplify right side
    4,932.93x = 24,369,611.31
  5. Step 5: Solve for x
    x = 24,369,611.31/4,932.93
  6. Step 6: Final answer
    x = 4,940.19

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Why These Related Problems?

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