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Finding the Fourth Proportional to 5,915.94, 8,165.42 and 3,557.63

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Solution

The fourth proportional to 5,915.94, 8,165.42 and 3,557.63 is: 4,910.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,915.94 : 8,165.42 = 3,557.63 : x
  2. Step 2: Convert to fraction form
    5,915.94/8,165.42 = 3,557.63/x
  3. Step 3: Cross multiply
    5,915.94x = 8,165.42 × 3,557.63
  4. Step 4: Simplify right side
    5,915.94x = 29,049,502.33
  5. Step 5: Solve for x
    x = 29,049,502.33/5,915.94
  6. Step 6: Final answer
    x = 4,910.38

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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.