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Finding the Fourth Proportional to 5,578.32, 8,361 and 2,983.08

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Solution

The fourth proportional to 5,578.32, 8,361 and 2,983.08 is: 4,471.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.32 : 8,361 = 2,983.08 : x
  2. Step 2: Convert to fraction form
    5,578.32/8,361 = 2,983.08/x
  3. Step 3: Cross multiply
    5,578.32x = 8,361 × 2,983.08
  4. Step 4: Simplify right side
    5,578.32x = 24,941,531.88
  5. Step 5: Solve for x
    x = 24,941,531.88/5,578.32
  6. Step 6: Final answer
    x = 4,471.15

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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.