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Finding the Fourth Proportional to 4,893.14, 7,329.99 and 3,156.50

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Solution

The fourth proportional to 4,893.14, 7,329.99 and 3,156.50 is: 4,728.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,893.14 : 7,329.99 = 3,156.50 : x
  2. Step 2: Convert to fraction form
    4,893.14/7,329.99 = 3,156.50/x
  3. Step 3: Cross multiply
    4,893.14x = 7,329.99 × 3,156.50
  4. Step 4: Simplify right side
    4,893.14x = 23,137,113.44
  5. Step 5: Solve for x
    x = 23,137,113.44/4,893.14
  6. Step 6: Final answer
    x = 4,728.48

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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.