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Finding the Fourth Proportional to 4,590.28, 6,893.50 and 3,420.60

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Solution

The fourth proportional to 4,590.28, 6,893.50 and 3,420.60 is: 5,136.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,590.28 : 6,893.50 = 3,420.60 : x
  2. Step 2: Convert to fraction form
    4,590.28/6,893.50 = 3,420.60/x
  3. Step 3: Cross multiply
    4,590.28x = 6,893.50 × 3,420.60
  4. Step 4: Simplify right side
    4,590.28x = 23,579,906.10
  5. Step 5: Solve for x
    x = 23,579,906.10/4,590.28
  6. Step 6: Final answer
    x = 5,136.92

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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.